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		<id>https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Unstructured-mesh-generation-using-Gmsh/English</id>
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				<updated>2015-08-17T13:56:05Z</updated>
		
		<summary type="html">&lt;p&gt;Mehtapavanp: Created page with &amp;quot;Tutorial: Unstructured Mesh generation using GMSH   Script and Narration: Pavan Mehta   Keywords: Video tutorial, CFD, GMSH, unstructured mesh, curved lines, circular arc, rul...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Tutorial: Unstructured Mesh generation using GMSH&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Script and Narration: Pavan Mehta&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Keywords: Video tutorial, CFD, GMSH, unstructured mesh, curved lines, circular arc, ruled surface&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| style=&amp;quot;border-spacing:0;&amp;quot;&lt;br /&gt;
| style=&amp;quot;border-top:0.05pt solid #000000;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Visual Cue'''&amp;lt;/center&amp;gt;&lt;br /&gt;
| style=&amp;quot;border:0.05pt solid #000000;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Narration'''&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 1&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Hello and welcome to the spoken tutorial on '''Unstructured Mesh generation using GMSH.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 2: Learning Objective&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial we will learn to&lt;br /&gt;
&lt;br /&gt;
* Create an '''unstructured mesh '''in '''GMSH'''&lt;br /&gt;
* Create plane''' surfaces'''&lt;br /&gt;
* Basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 3: System requirement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To record this tutorial I am using &lt;br /&gt;
&lt;br /&gt;
* '''Ubuntu Linux Operating system 14.04''' &lt;br /&gt;
* '''GMSH version 2.8.5'''&lt;br /&gt;
* '''OpenFOAM version 2.4.0''' &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 4: Pre-requisite&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This tutorial is a continuation of:&lt;br /&gt;
&lt;br /&gt;
Creation of sphere using GMSH&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
We have already learnt to create a sphere using GMSH earlier.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If you don't know how to do so, refer to the '''GMSH '''spoken tutorials in the '''OpenFOAM '''series on this website.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 5: Sphere Geometry and Domain&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Here is our problem statement.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This picture shows the flow direction and boundary faces.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
We will now learn how to create an '''unstructured mesh '''using '''GMSH'''.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 6: Points for Domain (slide)&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Note that the size of the domain is 45 X 30 X 30, and the radius of the sphere is 1.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
However, these dimensions can vary from problem to problem.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The points for the domain are as shown here.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Narration&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us switch to '''GMSH '''now.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Here is the sphere we created earlier.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create the points and lines of the domain.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I have also created all the points and lines of the domain.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To create the points of the domain, kindly refer to the tutorial mentioned earlier.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Selecting the option plane surface&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Using this option, selecting the edges&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, select the option '''plane surface. '''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Then select the respective edges for the surface. The selection will be displayed in red.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Press '''E'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Press '''E''' on the keyboard to execute the selection.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
On doing so, we can see the dotted lines.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the surfaces.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process until all surfaces are created.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Select''' Physical Groups '''&amp;gt;&amp;gt; Add &amp;gt;&amp;gt; '''surface'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, select the option '''Physical Groups''', then '''Add''' and then '''surface.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Select the four faces for wall &amp;gt;&amp;gt; Press '''E'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, select these four faces for the '''wall''' and press '''E '''on the keyboard.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Select the face for inlet &amp;gt;&amp;gt; Press '''E'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Select the front face for '''inlet '''and press '''E. '''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Select the face for outlet &amp;gt;&amp;gt; Press '''E'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Select the back face for''' outlet''' and press '''E. '''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Close '''GMSH'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now close '''GMSH.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Open sphere1.geo file &amp;gt;&amp;gt; go to the bottom &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, open the '''sphere1.geo '''file in '''gEdit Text Editor.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Note that there are additions to this file.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Also note that the identification numbers for the entities is in continuation of the earlier series.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replace the numerical values to a variable d&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As done earlier, replace the numerical values.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Use the letter''' d''' for the domain''' mesh''' variable.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Typing d = 0.5; at the beginning of the document&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Then, at the beginning of the file type &lt;br /&gt;
&lt;br /&gt;
'''d = 0.5;'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Narration&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To name the boundaries, change the numerical value with your desired name, as demonstrated.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replacing the integer with “wall”&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The first physical surface, we made in the interface was '''wall'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So, here, we will replace it with '''wall.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replacing the integer with “inlet”&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The second physical surface, we made in the interface was '''inlet'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Hence, here, we will replace it with '''inlet.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replacing the integer with “outlet”&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The third physical surface, we made in the interface was '''outlet.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So, here, we will replace it with '''outlet.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Typing Surface Loop()={};&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and highlighting&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now type''', Surface Loop''',''' ID''' which is the next integer in round brackets&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
equals the IDs of all surfaces of the domain in braces&lt;br /&gt;
&lt;br /&gt;
which is 43, 45, 47, 49, 51 and 53&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Typing Volume()={};&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and highlighting&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For definition of volume, use '''Volume, ID''' which is the next integer in round brackets&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
equals the IDs of the two surfaces in braces&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Which is 29 and 56&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Typing Physical Volume();&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and highlighting&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For physical volume, use '''Physical Volume''', '''ID''' which is the next integer in round brackets&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
equals the IDs of the volume in braces&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
which is 58&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Save and close sphere1.geo&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Save this file and close it.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| In the terminal &amp;gt;&amp;gt; type '''gmsh sphere1.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, using the terminal reopen '''GMSH '''by''' '''typing: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''gmsh sphere1.geo '''and press '''Enter'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Narration&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In '''GMSH''', a bottom to top approachis followed&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* That is, first '''1D mesh''' is created&lt;br /&gt;
* Using '''1D mesh, 2D mesh '''is created&lt;br /&gt;
* Using '''2D mesh, 3D mesh''' is created&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| 1D mesh creation, by pressing F1 key&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For 1D mesh creation, press '''F1''' key.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| 2D mesh creation, by pressing F2 key&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For 2D mesh creation, press '''F2''' key.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| 3D mesh creation, by pressing F3 key&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For 3D mesh creation, press '''F3''' key.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Point to the status bar.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This may take a while. Watch the progress in the status bar.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
It shows '''Done '''now.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Once the '''mesh '''is created, we need to optimize it &lt;br /&gt;
&lt;br /&gt;
to remove faulty cells.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Optimizing mesh using Optimize 3d Netgen option&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For optimization click on Modules , then Mesh and then on '''Optimize 3d Netgen '''option&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Point to the status bar.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This may also take a while.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Once again, watch the progress in the status bar.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Saving mesh and closing terminal&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To save the '''mesh''' go to file, '''save mesh''' and close the '''terminal.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 7: Importing mesh in OpenFOAM&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Create '''OpenFOAM''' '''case''' directory without the '''constant '''folder&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the '''case''' directory, copy the newly created file '''sphere1.msh'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Using the '''terminal''' window, go to the '''case''' directory of this problem.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Open a new terminal &amp;gt;&amp;gt; type '''gmshToFoam sphere.msh'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Once you are in the '''case''' directory,&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type: '''gmshToFoam sphere1.msh '''and press '''Enter'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To convert the '''mesh'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Ensure that the same '''boundary names''' are there in the files of folder 0, before proceeding to the next step.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 8: Summary &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us summarise. &lt;br /&gt;
&lt;br /&gt;
In this tutorial we have learnt to:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Create an '''unstructured mesh '''in '''GMSH'''&lt;br /&gt;
* Create plane''' surfaces'''&lt;br /&gt;
* Basic manipulations using the file with''' '''extension''' .geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 9: Assignment&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As an assignment,&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Make refinement in the''' mesh''' by changing the values of:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''s, d '''and&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Mesh.CharacteristicLengthFromCurvature'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 10: About FOSSEE &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| '''OpenFOAM''' series is created by the '''FOSSEE Project, IIT Bombay'''. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''FOSSEE''' stands for Free and Open Source Software for Education. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This project promotes the use of free and open source software tools. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For more details, please visit: [http://fossee.in/ http://fossee.in/] &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 11: About Spoken tutorials &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The video at this link summarises the Spoken Tutorial project. &lt;br /&gt;
&lt;br /&gt;
Please download and watch it. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 12: &lt;br /&gt;
&lt;br /&gt;
About Spoken tutorials &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The Spoken Tutorial Project Team conducts workshops and gives certificates on passing online tests. &lt;br /&gt;
&lt;br /&gt;
For more details, please write to us. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 13: Acknowledgement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India. &lt;br /&gt;
&lt;br /&gt;
More information on this Mission is available at this link.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is Pavan Mehta from FOSSEE Project, IIT BOMBAY signing off. &lt;br /&gt;
&lt;br /&gt;
Thanks for joining.&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Mehtapavanp</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Creating-a-sphere-in-GMSH/English</id>
		<title>OpenFOAM/C3/Creating-a-sphere-in-GMSH/English</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Creating-a-sphere-in-GMSH/English"/>
				<updated>2015-08-08T15:09:57Z</updated>
		
		<summary type="html">&lt;p&gt;Mehtapavanp: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Tutorial: Creating a sphere in GMSH&lt;br /&gt;
&lt;br /&gt;
Script and Narration: Pavan Mehta&lt;br /&gt;
&lt;br /&gt;
Keywords: Video tutorial, CFD, GMSH, unstructured mesh, curved lines, circular arc, ruled surface &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| style=&amp;quot;border-spacing:0;&amp;quot;&lt;br /&gt;
| style=&amp;quot;border-top:0.05pt solid #000000;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Visual Cue'''&amp;lt;/center&amp;gt;&lt;br /&gt;
| style=&amp;quot;border:0.05pt solid #000000;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Narration'''&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 1&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Hello and welcome to the spoken tutorial on '''Creating a sphere in GMSH.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 2: Learning Objective&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial, we will learn to&lt;br /&gt;
&lt;br /&gt;
* Create a '''circular arc'''&lt;br /&gt;
* Create '''ruled surfaces'''&lt;br /&gt;
* and basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 3: System requirement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To record this tutorial I am using &lt;br /&gt;
&lt;br /&gt;
* '''Ubuntu Linux Operating system 14.04''' &lt;br /&gt;
* '''GMSH version 2.8.5'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 4: Pre-requisite&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As a pre-requisite, user should have basic knowledge of creating points.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If not, refer to the '''GMSH '''spoken tutorials in the '''OpenFOAM '''series on this website.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 5: Points for sphere&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us begin.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The origin of the sphere is at (0,0,0).&lt;br /&gt;
* And the other points of the sphere are as displayed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to terminal&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In terminal type gmsh sphere1.geo and press enter&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us now open '''GMSH''' from the '''terminal.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To open the '''terminal, '''press '''Ctrl+Alt+T '''keys.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Now type''' gmsh sphere1.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and Press''' Enter '''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''GMSH''' is opened.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to GMSH's interface&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I have already created 7 points for the sphere, as shown here.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To create the points of the sphere, kindly refer to the tutorial mentioned earlier.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| In GMSH's interface, selecting circle arc option&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I'll now demonstrate how to make a circular arc.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In '''GMSH, '''a circular arc is strictly created less than '''Pi.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Select '''circle arc '''in LHS menu&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To create an arc, select '''circle arc''' option in the left-hand-side menu.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Creating curved lines by selecting 1&amp;lt;sup&amp;gt;st&amp;lt;/sup&amp;gt; , 2&amp;lt;sup&amp;gt;nd&amp;lt;/sup&amp;gt; and then 3&amp;lt;sup&amp;gt;rd&amp;lt;/sup&amp;gt; point&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, I will select the right-most point as the starting point of the arc.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Then, select this point here as the center point. Please note: This is the point with the coordinates (0,0,0).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
And finally, I will select a point on the top-side as the end point of the arc.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the arcs and complete the sphere.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process till all arcs are created.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Remember to keep the same centre point for all the arcs.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Selecting the option ruled surface &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and then selecting respective edges &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now select '''ruled surface '''option from the left-hand side menu, to create the curved surface.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Select the bounding edges for the surface, as demonstrated here.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Notice that the selected edges are now in red colour.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Press E &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Press E on the keyboard to execute this selection. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
You can see that the surface has been created. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is indicated by the dotted line, as shown here.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the surfaces &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process and create all 8 surfaces of the sphere.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Show the completed sphere&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| On completion, your sphere should look like this.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Going to home folder and opening sphere1.geo text file, by double clicking&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, go to the '''Home''' folder.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Locate and open the file '''sphere1.geo''' using '''gedit Text Editor.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Narration&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Information related to the geometrical entities that we just created, are stored here.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining general syntax of GMSH&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In '''GMSH, '''the general syntax is &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Geometrical entity, identification number''' inside the parenthesis&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
which equals to an expression.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining syntax of point&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Simultaneously highlighting the syntax&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Here, for point, the expression is&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Point, identification number '''inside parenthesis, which is usually the next integer starting from 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
equals to X,Y,Z coordinates and the value of '''mesh element size '''inside braces.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining further on syntax of point&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This value is the desired '''mesh element size'''. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The size of the mesh elements will then be computed by linearly interpolating these values on the initial mesh.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replacing the numerical value to a variable, s&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us now replace the numerical value of the points of the sphere, to a variable, '''s.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Type s=0.1; at the beginning of the document&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| At the beginning, type '''s = 0.1; '''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is for specifying the value of''' mesh element size''' of the sphere.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining the necessity of refinement&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and typing Mesh.CharacteristicLengthFromCurvature = 0.05;&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To capture the boundary layer, we will refine the mesh near the sphere.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For this purpose, we shall use the line,&lt;br /&gt;
&lt;br /&gt;
'''Mesh.CharacteristicLengthFromCurvature = 0.05;'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining the syntax Mesh.CharacteristicLenghtFromCurvature&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The syntax '''Mesh.CharacteristicLengthFromCurvature'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
will adapt the''' mesh''' with respect to the curvature of the geometrical entities.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Type '''Surface Loop'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For volume creation, we require all the bounding surfaces.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For this, at the end of the file, type &lt;br /&gt;
&lt;br /&gt;
'''Surface Loop '''followed by its identity &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
which is the next integer inside parenthesis&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Which equals the identities of all the surfaces of the sphere within braces.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Here, the identities are 14, 16, 18, 20, 22, 24, 26 and 28.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Saving and Closing the text file&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now save and close the '''sphere1.geo''' file.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to GMSH's interface &lt;br /&gt;
&lt;br /&gt;
Select Physical Groups &amp;gt;&amp;gt; Add &amp;gt;&amp;gt; Surface option --&amp;gt; select all the surfaces --&amp;gt; Press E&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let's switch to the '''GMSH''' interface.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the left-hand-side menu, click on '''Physical Groups''', then '''Add''', and then '''Surface '''option.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Select all the surfaces of the sphere.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Press '''E''' on the keyboard to execute this selection. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Double-click to open sphere1.geo file &amp;gt;&amp;gt; go to the last line of the file.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, again open '''sphere1.geo '''file in the '''Text Editor'''.&lt;br /&gt;
&lt;br /&gt;
Right at the bottom, notice that a new line of code has been added.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replace this number with sphere in double inverted commas and explaining it's importance&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Replace this number with '''sphere''' within quotes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This will help us to easily identify the boundaries of the sphere while post processing or otherwise.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Save and close the file.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now save and close the file.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Narration&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This completes this tutorial. Let us summarize.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 6: Summary &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial we learnt to&lt;br /&gt;
&lt;br /&gt;
* Create curved lines and surfaces&lt;br /&gt;
* Create a sphere and&lt;br /&gt;
* and basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 7: Assignment&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As an assignment, &lt;br /&gt;
&lt;br /&gt;
Create a '''sphere '''with a larger radius.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 8: About FOSSEE &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| '''OpenFOAM''' series is created by the '''FOSSEE Project, IIT Bombay'''. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''FOSSEE''' stands for Free and Open Source Software for Education. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This project promotes the use of free and open source software tools. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For more details, please visit: [http://fossee.in/ http://fossee.in/] &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 9: About the Spoken tutorial project&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The video at this link summarises the Spoken Tutorial project. &lt;br /&gt;
&lt;br /&gt;
Please download and watch it. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 10: &lt;br /&gt;
&lt;br /&gt;
Spoken tutorials Workshops &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The Spoken Tutorial Project Team conducts workshops and gives certificates on passing online tests. &lt;br /&gt;
&lt;br /&gt;
For more details, please write to us. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 11: Acknowledgement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India. &lt;br /&gt;
&lt;br /&gt;
More information on this Mission is available at this link.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is Pavan Mehta from FOSSEE Project, IIT BOMBAY signing off. &lt;br /&gt;
&lt;br /&gt;
Thanks for joining.&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Mehtapavanp</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Creating-a-sphere-in-GMSH/English</id>
		<title>OpenFOAM/C3/Creating-a-sphere-in-GMSH/English</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Creating-a-sphere-in-GMSH/English"/>
				<updated>2015-08-08T15:05:26Z</updated>
		
		<summary type="html">&lt;p&gt;Mehtapavanp: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Tutorial: Creating a sphere in GMSH&lt;br /&gt;
&lt;br /&gt;
Script and Narration: Pavan Mehta&lt;br /&gt;
&lt;br /&gt;
Keywords: Video tutorial, CFD, GMSH, unstructured mesh, curved lines, circular arc, ruled surface &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| style=&amp;quot;border-spacing:0;&amp;quot;&lt;br /&gt;
| style=&amp;quot;border-top:0.05pt solid #000000;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Visual Cue'''&amp;lt;/center&amp;gt;&lt;br /&gt;
| style=&amp;quot;border:0.05pt solid #000000;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Narration'''&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 1&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Hello and welcome to the spoken tutorial on '''Creating a sphere in GMSH.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 2: Learning Objective&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial, we will learn to&lt;br /&gt;
&lt;br /&gt;
* Create a '''circular arc'''&lt;br /&gt;
* Create '''ruled surfaces'''&lt;br /&gt;
* and basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 3: System requirement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To record this tutorial I am using &lt;br /&gt;
&lt;br /&gt;
* '''Ubuntu Linux Operating system 14.04''' &lt;br /&gt;
* '''GMSH version 2.8.5'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 4: Pre-requisite&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As a pre-requisite, user should have basic knowledge of creating points.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If not, refer to the '''GMSH '''spoken tutorials in the '''OpenFOAM '''series on this website.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 5: Points for sphere&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us begin.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The origin of the sphere is at (0,0,0).&lt;br /&gt;
* And the other points of the sphere are as displayed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to terminal&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In terminal type gmsh sphere1.geo and press enter&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us now open '''GMSH''' from the '''terminal.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To open the '''terminal, '''press '''Ctrl+Alt+T '''keys.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Now type''' gmsh sphere1.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and Press''' Enter '''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''GMSH''' is opened.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to GMSH's interface&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I have already created 7 points for the sphere, as shown here.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To create the points of the sphere, kindly refer to the tutorial mentioned earlier.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| In GMSH's interface, selecting circle arc option&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I'll now demonstrate how to make a circular arc.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In '''GMSH, '''a circular arc is strictly created less than '''Pi.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Select '''circle arc '''in LHS menu&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To create an arc, select '''circle arc''' option in the left-hand-side menu.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Creating curved lines by selecting 1&amp;lt;sup&amp;gt;st&amp;lt;/sup&amp;gt; , 2&amp;lt;sup&amp;gt;nd&amp;lt;/sup&amp;gt; and then 3&amp;lt;sup&amp;gt;rd&amp;lt;/sup&amp;gt; point&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, I will select the right-most point as the starting point of the arc.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Then, select this point here as the center point. Please note: This is the point with the coordinates (0,0,0).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
And finally, I will select a point on the top-side as the end point of the arc.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the arcs and complete the sphere.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process till all arcs are created.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Remember to keep the same centre point for all the arcs.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Selecting the option ruled surface &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and then selecting respective edges &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now select '''ruled surface '''option from the left-hand side menu, to create the curved surface.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Select the bounding edges for the surface, as demonstrated here.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Notice that the selected edges are now in red colour.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Press E &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Press E on the keyboard to execute this selection. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
You can see that the surface has been created. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is indicated by the dotted line, as shown here.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the surfaces &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process and create all 8 surfaces of the sphere.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Show the completed sphere&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| On completion, your sphere should look like this.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Going to home folder and opening sphere1.geo text file, by double clicking&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, go to the '''Home''' folder.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Locate and open the file '''sphere1.geo''' using '''gedit Text Editor.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Information related to the geometrical entities that we just created, are stored here.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining general syntax of GMSH&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In '''GMSH, '''the general syntax is &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Geometrical entity, identification number''' inside the parenthesis&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
which equals to an expression.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining syntax of point&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Simultaneously highlighting the syntax&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Here, for point, the expression is&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Point, identification number '''inside parenthesis, which is usually the next integer starting from 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
equals to X,Y,Z coordinates and the value of '''mesh element size '''inside braces.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining further on syntax of point&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This value is the desired '''mesh element size'''. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The size of the mesh elements will then be computed by linearly interpolating these values on the initial mesh.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replacing the numerical value to a variable, s&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us now replace the numerical value of the points of the sphere, to a variable, '''s.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Type s=0.1; at the beginning of the document&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| At the beginning, type '''s = 0.1; '''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is for specifying the value of''' mesh element size''' of the sphere.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining the necessity of refinement&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and typing Mesh.CharacteristicLengthFromCurvature = 0.05;&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To capture the boundary layer, we will refine the mesh near the sphere.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For this purpose, we shall use the line,&lt;br /&gt;
&lt;br /&gt;
'''Mesh.CharacteristicLengthFromCurvature = 0.05;'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining the syntax Mesh.CharacteristicLenghtFromCurvature&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The syntax '''Mesh.CharacteristicLengthFromCurvature'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
will adapt the''' mesh''' with respect to the curvature of the geometrical entities.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Type '''Surface Loop'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For volume creation, we require all the bounding surfaces.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For this, at the end of the file, type &lt;br /&gt;
&lt;br /&gt;
'''Surface Loop '''followed by its identity &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
which is the next integer inside parenthesis&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Which equals the identities of all the surfaces of the sphere within braces.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Here, the identities are 14, 16, 18, 20, 22, 24, 26 and 28.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Saving and Closing the text file&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now save and close the '''sphere1.geo''' file.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to GMSH's interface &lt;br /&gt;
&lt;br /&gt;
Select Physical Groups &amp;gt;&amp;gt; Add &amp;gt;&amp;gt; Surface option --&amp;gt; select all the surfaces --&amp;gt; Press E&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let's switch to the '''GMSH''' interface.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the left-hand-side menu, click on '''Physical Groups''', then '''Add''', and then '''Surface '''option.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Select all the surfaces of the sphere.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Press '''E''' on the keyboard to execute this selection. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Double-click to open sphere1.geo file &amp;gt;&amp;gt; go to the last line of the file.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, again open '''sphere1.geo '''file in the '''Text Editor'''.&lt;br /&gt;
&lt;br /&gt;
Right at the bottom, notice that a new line of code has been added.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replace this number with sphere in double inverted commas and explaining it's importance&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Replace this number with '''sphere''' within quotes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This will help us to easily identify the boundaries of the sphere while post processing or otherwise.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Save and close the file.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now save and close the file.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Narration&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This completes this tutorial. Let us summarize.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 6: Summary &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial we learnt to&lt;br /&gt;
&lt;br /&gt;
* Create curved lines and surfaces&lt;br /&gt;
* Create a sphere and&lt;br /&gt;
* and basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 7: Assignment&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As an assignment, &lt;br /&gt;
&lt;br /&gt;
Create a '''sphere '''with a larger radius.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 8: About FOSSEE &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| '''OpenFOAM''' series is created by the '''FOSSEE Project, IIT Bombay'''. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''FOSSEE''' stands for Free and Open Source Software for Education. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This project promotes the use of free and open source software tools. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For more details, please visit: [http://fossee.in/ http://fossee.in/] &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 9: About the Spoken tutorial project&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The video at this link summarises the Spoken Tutorial project. &lt;br /&gt;
&lt;br /&gt;
Please download and watch it. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 10: &lt;br /&gt;
&lt;br /&gt;
Spoken tutorials Workshops &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The Spoken Tutorial Project Team conducts workshops and gives certificates on passing online tests. &lt;br /&gt;
&lt;br /&gt;
For more details, please write to us. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 11: Acknowledgement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India. &lt;br /&gt;
&lt;br /&gt;
More information on this Mission is available at this link.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is Pavan Mehta from FOSSEE Project, IIT BOMBAY signing off. &lt;br /&gt;
&lt;br /&gt;
Thanks for joining.&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Mehtapavanp</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Creating-a-sphere-in-GMSH/English</id>
		<title>OpenFOAM/C3/Creating-a-sphere-in-GMSH/English</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Creating-a-sphere-in-GMSH/English"/>
				<updated>2015-08-08T14:55:22Z</updated>
		
		<summary type="html">&lt;p&gt;Mehtapavanp: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Tutorial: Creating a sphere in GMSH&lt;br /&gt;
&lt;br /&gt;
Script and Narration: Pavan Mehta&lt;br /&gt;
&lt;br /&gt;
Keywords: Video tutorial, CFD, GMSH, unstructured mesh, curved lines, circular arc, ruled surface &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| style=&amp;quot;border-spacing:0;&amp;quot;&lt;br /&gt;
| style=&amp;quot;border-top:0.05pt solid #000000;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Visual Cue'''&amp;lt;/center&amp;gt;&lt;br /&gt;
| style=&amp;quot;border:0.05pt solid #000000;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Narration'''&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 1&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Hello and welcome to the spoken tutorial on '''Creating a sphere in GMSH.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 2: Learning Objective&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial, we will learn to&lt;br /&gt;
&lt;br /&gt;
* Create a '''circular arc'''&lt;br /&gt;
* Create '''ruled surfaces'''&lt;br /&gt;
* and basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 3: System requirement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To record this tutorial I am using &lt;br /&gt;
&lt;br /&gt;
* '''Ubuntu Linux Operating system 14.04''' &lt;br /&gt;
* '''GMSH version 2.8.5'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 4: Pre-requisite&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As a pre-requisite, user should have basic knowledge of creating points.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If not, refer to the '''GMSH '''spoken tutorials in the '''OpenFOAM '''series on this website.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 5: Points for sphere&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us begin.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The origin of the sphere is at (0,0,0).&lt;br /&gt;
* And the other points of the sphere are as displayed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to terminal&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In terminal type gmsh sphere1.geo and press enter&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us now open '''GMSH''' from the '''terminal.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To open the '''terminal, '''press '''Ctrl+Alt+T '''keys.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Now type''' gmsh sphere1.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and Press''' Enter '''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''GMSH''' is opened.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to GMSH's interface&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I have already created 7 points for the sphere, as shown here.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To create the points of the sphere, kindly refer to the tutorial mentioned earlier.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| In GMSH's interface, selecting circle arc option&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I'll now demonstrate how to make a circular arc.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In '''GMSH, '''a circular arc is strictly created less than '''Pi.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Select '''circle arc '''in LHS menu&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To create an arc, select '''circle arc''' option in the left-hand-side menu.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Creating curved lines by selecting 1&amp;lt;sup&amp;gt;st&amp;lt;/sup&amp;gt; , 2&amp;lt;sup&amp;gt;nd&amp;lt;/sup&amp;gt; and then 3&amp;lt;sup&amp;gt;rd&amp;lt;/sup&amp;gt; point&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, I will select the right-most point as the starting point of the arc.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Then, select this point here as the center point. Please note: This is the point with the coordinates (0,0,0).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
And finally, I will select a point on the top-side as the end point of the arc.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the arcs and complete the sphere.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process till all arcs are created.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Remember to keep the same centre point for all the arcs.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Selecting the option ruled surface &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and then selecting respective edges &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now select '''ruled surface '''option from the left-hand side menu, to create the curved surface.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Select the bounding edges for the surface, as demonstrated here.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Notice that the selected edges are now in red colour.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Press E &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Press E on the keyboard to execute this selection. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
You can see that the surface has been created. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is indicated by the dotted line, as shown here.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the surfaces &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process and create all 8 surfaces of the sphere.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Show the completed sphere&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| On completion, your sphere should look like this.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Going to home folder and opening sphere1.geo text file, by double clicking&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, go to the '''Home''' folder.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Locate and open the file '''sphere1.geo''' using '''gedit Text Editor.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Information related to the geometrical entities that we just created, are stored here.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining general syntax of GMSH&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In '''GMSH, '''the general syntax is &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Geometrical entity, identification number''' inside the parenthesis&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
which equals to an expression.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining syntax of point&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Simultaneously highlighting the syntax&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Here, for point, the expression is&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Point, identification number '''inside parenthesis, which is usually the next integer starting from 1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
equals to X,Y,Z coordinates and the value of '''mesh element size '''inside braces.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining further on syntax of point&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This value is the desired '''mesh element size'''. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The size of the mesh elements will then be computed by linearly interpolating these values on the initial mesh.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replacing the numerical value to a variable, s&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us now replace the numerical value of the points of the sphere, to a variable, '''s.'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Type s=0.1; at the beginning of the document&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| At the beginning, type '''s = 0.1; '''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is for specifying the value of''' mesh element size''' of the sphere.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining the necessity of refinement&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and typing Mesh.CharacteristicLengthFromCurvature = 0.05;&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To capture the boundary layer, we will refine the mesh near the sphere.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For this purpose, we shall use the line,&lt;br /&gt;
&lt;br /&gt;
'''Mesh.CharacteristicLengthFromCurvature = 0.05;'''&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining the syntax Mesh.CharacteristicLenghtFromCurvature&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The syntax '''Mesh.CharacteristicLengthFromCurvature'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
will adapt the''' mesh''' with respect to the curvature of the geometrical entities.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Type '''Surface Loop'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For volume creation, we require all the bounding surfaces.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For this, at the end of the file, type &lt;br /&gt;
&lt;br /&gt;
'''Surface Loop '''followed by its identity &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
which is the next integer inside parenthesis&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Which equals the identities of all the surfaces of the sphere within braces.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Here, the identities are 14, 16, 18, 20, 22, 24, 26 and 28.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now save and close the '''sphere1.geo''' file.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to GMSH's interface &lt;br /&gt;
&lt;br /&gt;
Select Physical Groups &amp;gt;&amp;gt; Add &amp;gt;&amp;gt; Surface option --&amp;gt; select all the surfaces --&amp;gt; Press E&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let's switch to the '''GMSH''' interface.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the left-hand-side menu, click on '''Physical Groups''', then '''Add''', and then '''Surface '''option.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Select all the surfaces of the sphere.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Press '''E''' on the keyboard to execute this selection. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Double-click to open sphere1.geo file &amp;gt;&amp;gt; go to the last line of the file.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, again open '''sphere1.geo '''file in the '''Text Editor'''.&lt;br /&gt;
&lt;br /&gt;
Right at the bottom, notice that a new line of code has been added.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replace this number with sphere in double inverted commas and explaining it's importance&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Replace this number with '''sphere''' within quotes.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This will help us to easily identify the boundaries of the sphere while post processing or otherwise.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Save and close the file.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now save and close the file.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Narration&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This completes this tutorial. Let us summarize.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 6: Summary &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial we learnt to&lt;br /&gt;
&lt;br /&gt;
* Create curved lines and surfaces&lt;br /&gt;
* Create a sphere and&lt;br /&gt;
* and basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 7: Assignment&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As an assignment, &lt;br /&gt;
&lt;br /&gt;
Create a '''sphere '''with a larger radius.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 8: About FOSSEE &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| '''OpenFOAM''' series is created by the '''FOSSEE Project, IIT Bombay'''. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''FOSSEE''' stands for Free and Open Source Software for Education. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This project promotes the use of free and open source software tools. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For more details, please visit: [http://fossee.in/ http://fossee.in/] &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 9: About the Spoken tutorial project&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The video at this link summarises the Spoken Tutorial project. &lt;br /&gt;
&lt;br /&gt;
Please download and watch it. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 10: &lt;br /&gt;
&lt;br /&gt;
Spoken tutorials Workshops &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The Spoken Tutorial Project Team conducts workshops and gives certificates on passing online tests. &lt;br /&gt;
&lt;br /&gt;
For more details, please write to us. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 11: Acknowledgement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India. &lt;br /&gt;
&lt;br /&gt;
More information on this Mission is available at this link.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is Pavan Mehta from FOSSEE Project, IIT BOMBAY signing off. &lt;br /&gt;
&lt;br /&gt;
Thanks for joining.&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Mehtapavanp</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Creating-a-sphere-in-GMSH/English</id>
		<title>OpenFOAM/C3/Creating-a-sphere-in-GMSH/English</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php/OpenFOAM/C3/Creating-a-sphere-in-GMSH/English"/>
				<updated>2015-08-08T14:42:28Z</updated>
		
		<summary type="html">&lt;p&gt;Mehtapavanp: Created page with &amp;quot; {| style=&amp;quot;border-spacing:0;&amp;quot; | style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Vis...&amp;quot;&lt;/p&gt;
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{| style=&amp;quot;border-spacing:0;&amp;quot;&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Visual Cue'''&amp;lt;/center&amp;gt;&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| &amp;lt;center&amp;gt;'''Narration'''&amp;lt;/center&amp;gt;&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 1&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Hello and welcome to the spoken tutorial on '''Creating a sphere in GMSH.'''&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 2: Learning Objective&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial, we will learn to&lt;br /&gt;
&lt;br /&gt;
* Create a '''circular arc'''&lt;br /&gt;
* Create '''ruled surfaces'''&lt;br /&gt;
* and basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 3: System requirement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To record this tutorial I am using &lt;br /&gt;
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* '''Ubuntu Linux Operating system 14.04''' &lt;br /&gt;
* '''GMSH version 2.8.5'''&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 4: Pre-requisite&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As a pre-requisite, user should have basic knowledge of creating points.&lt;br /&gt;
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If not, refer to the '''GMSH '''spoken tutorials in the '''OpenFOAM '''series on this website.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 5: Points for sphere&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us begin.&lt;br /&gt;
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* The origin of the sphere is at (0,0,0).&lt;br /&gt;
* And the other points of the sphere are as displayed.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to terminal&lt;br /&gt;
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In terminal type gmsh sphere1.geo and press enter&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us now open '''GMSH''' from the '''terminal.'''&lt;br /&gt;
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To open the '''terminal, '''press '''Ctrl+Alt+T '''keys.&lt;br /&gt;
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Now type''' gmsh sphere1.geo'''&lt;br /&gt;
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and Press''' Enter '''&lt;br /&gt;
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'''GMSH''' is opened.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to GMSH's interface&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I have already created 7 points for the sphere, as shown here.&lt;br /&gt;
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To create the points of the sphere, kindly refer to the tutorial mentioned earlier.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| In GMSH's interface, selecting circle arc option&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| I'll now demonstrate how to make a circular arc.&lt;br /&gt;
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In '''GMSH, '''a circular arc is strictly created less than '''Pi.'''&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Select '''circle arc '''in LHS menu&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To create an arc, select '''circle arc''' option in the left-hand-side menu.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Creating curved lines by selecting 1&amp;lt;sup&amp;gt;st&amp;lt;/sup&amp;gt; , 2&amp;lt;sup&amp;gt;nd&amp;lt;/sup&amp;gt; and then 3&amp;lt;sup&amp;gt;rd&amp;lt;/sup&amp;gt; point&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, I will select the right-most point as the starting point of the arc.&lt;br /&gt;
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Then, select this point here as the center point. Please note: This is the point with the coordinates (0,0,0).&lt;br /&gt;
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And finally, I will select a point on the top-side as the end point of the arc.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the arcs and complete the sphere.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process till all arcs are created.&lt;br /&gt;
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Remember to keep the same centre point for all the arcs.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Selecting the option ruled surface &lt;br /&gt;
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and then selecting respective edges &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now select '''ruled surface '''option from the left-hand side menu, to create the curved surface.&lt;br /&gt;
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Select the bounding edges for the surface, as demonstrated here.&lt;br /&gt;
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Notice that the selected edges are now in red colour.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Press E &lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Press E on the keyboard to execute this selection. &lt;br /&gt;
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You can see that the surface has been created. &lt;br /&gt;
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This is indicated by the dotted line, as shown here.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Pause recording and create all the surfaces &lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Repeat the process and create all 8 surfaces of the sphere.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Show the completed sphere&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| On completion, your sphere should look like this.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Going to home folder and opening sphere1.geo text file, by double clicking&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, go to the '''Home''' folder.&lt;br /&gt;
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Locate and open the file '''sphere1.geo''' using '''gedit Text Editor.'''&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Information related to the geometrical entities that we just created, are stored here.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining general syntax of GMSH&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In '''GMSH, '''the general syntax is &lt;br /&gt;
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'''Geometrical entity, identification number''' inside the parenthesis&lt;br /&gt;
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which equals to an expression.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining syntax of point&lt;br /&gt;
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Simultaneously highlighting the syntax&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Here, for point, the expression is&lt;br /&gt;
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'''Point, identification number '''inside parenthesis, which is usually the next integer starting from 1&lt;br /&gt;
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equals to X,Y,Z coordinates and the value of '''mesh element size '''inside braces.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining further on syntax of point&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This value is the desired '''mesh element size'''. &lt;br /&gt;
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The size of the mesh elements will then be computed by linearly interpolating these values on the initial mesh.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replacing the numerical value to a variable, s&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let us now replace the numerical value of the points of the sphere, to a variable, '''s.'''&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Type s=0.1; at the beginning of the document&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| At the beginning, type '''s = 0.1; '''&lt;br /&gt;
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This is for specifying the value of''' mesh element size''' of the sphere.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining the necessity of refinement&lt;br /&gt;
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and typing Mesh.CharacteristicLengthFromCurvature = 0.05;&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| To capture the boundary layer, we will refine the mesh near the sphere.&lt;br /&gt;
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For this purpose, we shall use the line,&lt;br /&gt;
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'''Mesh.CharacteristicLengthFromCurvature = 0.05;'''&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Explaining the syntax Mesh.CharacteristicLenghtFromCurvature&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The syntax '''Mesh.CharacteristicLengthFromCurvature'''&lt;br /&gt;
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will adapt the''' mesh''' with respect to the curvature of the geometrical entities.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Type '''Surface Loop'''&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| For volume creation, we require all the bounding surfaces.&lt;br /&gt;
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For this, at the end of the file, type &lt;br /&gt;
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'''Surface Loop '''followed by its identity &lt;br /&gt;
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which is the next integer inside parenthesis&lt;br /&gt;
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Which equals the identities of all the surfaces of the sphere within braces.&lt;br /&gt;
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Here, the identities are 14, 16, 18, 20, 22, 24, 26 and 28.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now save and close the '''sphere1.geo''' file.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Switch to GMSH's interface &lt;br /&gt;
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Select Physical Groups &amp;gt;&amp;gt; Add &amp;gt;&amp;gt; Surface option --&amp;gt; select all the surfaces --&amp;gt; Press E&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Let's switch to the '''GMSH''' interface.&lt;br /&gt;
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In the left-hand-side menu, click on '''Physical Groups''', then '''Add''', and then '''Surface '''option.&lt;br /&gt;
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Select all the surfaces of the sphere.&lt;br /&gt;
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Press '''E''' on the keyboard to execute this selection. &lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Double-click to open sphere1.geo file &amp;gt;&amp;gt; go to the last line of the file.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now, again open '''sphere1.geo '''file in the '''Text Editor'''.&lt;br /&gt;
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Right at the bottom, notice that a new line of code has been added.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Replace this number with sphere in double inverted commas and explaining it's importance&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Replace this number with '''sphere''' within quotes.&lt;br /&gt;
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This will help us to easily identify the boundaries of the sphere while post processing or otherwise.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Save and close the file.&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Now save and close the file.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Narration&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| This completes this tutorial. Let us summarize.&lt;br /&gt;
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| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 6: Summary &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| In this tutorial we learnt to&lt;br /&gt;
&lt;br /&gt;
* Create curved lines and surfaces&lt;br /&gt;
* Create a sphere and&lt;br /&gt;
* and basic manipulations using the file with extension '''.geo'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 7: Assignment&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| As an assignment, &lt;br /&gt;
&lt;br /&gt;
Create a '''sphere '''with a larger radius.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 8: About FOSSEE &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| '''OpenFOAM''' series is created by the '''FOSSEE Project, IIT Bombay'''. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''FOSSEE''' stands for Free and Open Source Software for Education. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This project promotes the use of free and open source software tools. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For more details, please visit: [http://fossee.in/ http://fossee.in/] &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 9: About the Spoken tutorial project&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The video at this link summarises the Spoken Tutorial project. &lt;br /&gt;
&lt;br /&gt;
Please download and watch it. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 10: &lt;br /&gt;
&lt;br /&gt;
Spoken tutorials Workshops &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| The Spoken Tutorial Project Team conducts workshops and gives certificates on passing online tests. &lt;br /&gt;
&lt;br /&gt;
For more details, please write to us. &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.0382in;&amp;quot;| Slide 11: Acknowledgement &lt;br /&gt;
| style=&amp;quot;border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:0.05pt solid #000000;padding:0.0382in;&amp;quot;| Spoken Tutorial Project is funded by NMEICT, MHRD, Government of India. &lt;br /&gt;
&lt;br /&gt;
More information on this Mission is available at this link.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is Pavan Mehta from FOSSEE Project, IIT BOMBAY signing off. &lt;br /&gt;
&lt;br /&gt;
Thanks for joining.&lt;br /&gt;
&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Mehtapavanp</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php/File:Creating-sphere-GMSH.pdf</id>
		<title>File:Creating-sphere-GMSH.pdf</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php/File:Creating-sphere-GMSH.pdf"/>
				<updated>2015-08-06T14:14:32Z</updated>
		
		<summary type="html">&lt;p&gt;Mehtapavanp: &lt;/p&gt;
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		<author><name>Mehtapavanp</name></author>	</entry>

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