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		<id>https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Grid-Resolution-and-Convergence-in-OpenFOAM/English&amp;diff=53109&amp;oldid=prev</id>
		<title>Nancyvarkey at 07:44, 23 July 2020</title>
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				<updated>2020-07-23T07:44:20Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Grid-Resolution-and-Convergence-in-OpenFOAM/English&amp;amp;diff=53109&amp;amp;oldid=53081&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Nancyvarkey</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Grid-Resolution-and-Convergence-in-OpenFOAM/English&amp;diff=53081&amp;oldid=prev</id>
		<title>Ashleymelvin: Created page with &quot;'''Title of the script''': Grid Resolution and Convergence in OpenFOAM  '''Author''': Ashley Melvin  '''Keywords''': OpenFOAM, ParaView, blockMesh, meshing, mesh refinement, c...&quot;</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Grid-Resolution-and-Convergence-in-OpenFOAM/English&amp;diff=53081&amp;oldid=prev"/>
				<updated>2020-07-22T10:45:33Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Title of the script&amp;#039;&amp;#039;&amp;#039;: Grid Resolution and Convergence in OpenFOAM  &amp;#039;&amp;#039;&amp;#039;Author&amp;#039;&amp;#039;&amp;#039;: Ashley Melvin  &amp;#039;&amp;#039;&amp;#039;Keywords&amp;#039;&amp;#039;&amp;#039;: OpenFOAM, ParaView, blockMesh, meshing, mesh refinement, c...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Title of the script''': Grid Resolution and Convergence in OpenFOAM&lt;br /&gt;
&lt;br /&gt;
'''Author''': Ashley Melvin&lt;br /&gt;
&lt;br /&gt;
'''Keywords''': OpenFOAM, ParaView, blockMesh, meshing, mesh refinement, coarse mesh, medium mesh, fine mesh, grid independence study, Courant number, lid-driven cavity, video tutorial&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| border = &amp;quot;1&amp;quot;&lt;br /&gt;
|- &lt;br /&gt;
|| '''Visual Cue'''&lt;br /&gt;
|| '''Narration'''&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Opening Slide&lt;br /&gt;
|| Welcome to this tutorial on '''Grid Resolution and Convergence in OpenFOAM'''.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Learning Objectives&lt;br /&gt;
|| In this tutorial, we will learn to:&lt;br /&gt;
* '''Refine''' a '''mesh''' using '''blockMeshDict'''&lt;br /&gt;
* Change the '''time step''' to achieve '''numerical stability''', and&lt;br /&gt;
* Perform a '''grid independence''' '''study'''&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: System Specifications&lt;br /&gt;
|| To record this tutorial, I am using,&lt;br /&gt;
* '''Ubuntu Linux''' OS version 18.04&lt;br /&gt;
* '''OpenFOAM''' version 7&lt;br /&gt;
* '''ParaView''' version 5.6.0, and&lt;br /&gt;
* '''gedit Text editor'''&lt;br /&gt;
&lt;br /&gt;
However, you may use any other '''text editor''' of your choice.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Prerequisites&lt;br /&gt;
|| As a prerequisite:&lt;br /&gt;
* You should be familiar with '''setting up a case''' and '''creating a mesh''' in '''OpenFOAM'''.&lt;br /&gt;
* You should also be familiar with '''basic post-processing''' using '''ParaView'''.&lt;br /&gt;
* If not, please go through the prerequisite '''OpenFOAM '''tutorials on this website.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Lid Driven Cavity&lt;br /&gt;
|| We will use the '''lid driven cavity case''' in this tutorial.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is the diagram of '''Lid Driven Cavity Flow'''.&lt;br /&gt;
|- &lt;br /&gt;
|| CTRL + ALT + T&lt;br /&gt;
|| Open the '''terminal''' by pressing '''Ctrl''', '''Alt''' &amp;amp; '''T''' keys.&lt;br /&gt;
|-&lt;br /&gt;
|  | Only Narration&lt;br /&gt;
|  | Here onwards please remember to press the '''Enter''' key after typing each '''command'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type: '''cd $FOAM_RUN'''&lt;br /&gt;
|| Type the following '''command''' to move into the '''run directory'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''cp -r $FOAM_TUTORIALS/incompressible/icoFoam/cavity/cavity .'''&lt;br /&gt;
|| Let us copy the '''Lid driven cavity case''' from the '''tutorial directory''' into the '''run directory'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type the following '''command''' to do so.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type: '''cd cavity'''&lt;br /&gt;
|| Now let us go into the '''lid driven cavity case''' folder using the '''cd command'''. &lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type: '''gedit system/blockMeshDict'''&lt;br /&gt;
|| Let’s open the '''blockMeshDict''' file in a '''text editor'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''blockMeshDict'''] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Highlight '''(20 20 1)'''&lt;br /&gt;
|| This is a '''2 dimensional mesh''' having '''20 cells''' along both '''x''' and '''y directions'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''blockMeshDict'''] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Close Text Editor&lt;br /&gt;
|| Close the '''blockMeshDict''' file.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type: '''gedit system/controlDict'''&lt;br /&gt;
|| Now, let’s open the '''controlDict''' file in a '''text editor'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''controlDict'''] Highlight:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''deltaT'''&lt;br /&gt;
|| The '''time step''' for the '''simulation''' is specified using the '''keyword deltaT'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
When '''running''' the '''simulation, temporal accuracy''' and '''numerical stability''' needs to be achieved.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The '''Courant number''' is required to be less than '''1''' to achieve this.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Please refer to the '''Additional Reading Material''' on this tutorial page for details.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
It mentions the steps used to calculate the '''time-step'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''controlDict'''] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Highlight: '''0.005 '''&lt;br /&gt;
|| We have calculated the '''time step''' for this '''simulation''' to be '''0.005 s'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So, this will be the value of '''deltaT'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''controlDict'''] Close Text Editor&lt;br /&gt;
|| Close the '''controlDict''' file.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''blockMesh'''&lt;br /&gt;
|| Let us '''mesh''' the '''geometry''' now using the '''blockMesh command''' on the '''terminal.'''&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
&lt;br /&gt;
'''icoFoam'''&lt;br /&gt;
|| We will be using the '''icoFoam solver''' to '''simulate''' the '''case'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type the following '''command''' on the '''terminal''' to start the '''simulation'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Highlight: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''End'''&lt;br /&gt;
|| The iterations are now complete.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''paraFoam'''&lt;br /&gt;
|| Let us view the '''simulated''' results in '''ParaView''' using the '''paraFoam command'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] '''Properties''' Tab &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on '''Apply'''&lt;br /&gt;
|| Click on the '''Apply''' button in the '''Properties''' tab to view the '''geometry'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] '''Active Variable Controls'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on '''vtkBlockColors''' &amp;gt;&amp;gt; Click on '''p'''&lt;br /&gt;
|| Next, let’s view the '''pressure contours''' for the '''simulation'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on the '''vtkBlockColors''' dropdown in the '''Active Variable Controls''' and select '''p'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] '''VCR Controls'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on '''Last Frame'''&lt;br /&gt;
|| Now, let us view the '''contours''' at the end of the '''simulation'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on the '''Last Frame''' button in the '''VCR Controls'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] '''Data Analysis'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on '''Probe Location'''&lt;br /&gt;
|| Next, let’s see the values of '''pressure''' and '''velocity''' at the centre of the '''domain'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To do so, click on the '''Probe Location''' button in the '''Data Analysis''' section.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Probe Location&lt;br /&gt;
|| &lt;br /&gt;
* '''Probe Location filter''' shows the details of the points within an arbitrary '''sphere'''.&lt;br /&gt;
* By default, this '''sphere''' is centered at the '''center '''of the''' domain''' and has '''0''' radius.&lt;br /&gt;
* Changing these parameters will change the '''probe location''' or the '''range''' of the '''probe'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] Properties Tab&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on '''Apply'''&lt;br /&gt;
|| We need the values at the '''centre '''of the''' domain'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Therefore, we stick with the default '''Sphere Parameters''' in the '''Properties''' Tab.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on the '''Apply''' button.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] '''SpreadSheetView'''&lt;br /&gt;
|| We can now see the velocity and pressure values in the '''SpreadSheetView'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Note down the value of '''pressure''' as we will be using this later.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] Close the Window&lt;br /&gt;
|| Then close the '''ParaView''' window.&lt;br /&gt;
|- &lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| Now, let us increase the '''number of cells''' in the '''x''' and '''y direction''' to '''40 cells'''.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Mesh Refinement&lt;br /&gt;
|| &lt;br /&gt;
* This process of dividing the existing cells is called '''mesh refinement'''.&lt;br /&gt;
* '''Mesh refinement''' changes a '''coarse mesh''' into a '''finer mesh'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''gedit system/blockMeshDict'''&lt;br /&gt;
|| Let us open the '''blockMeshDict''' file in a '''text editor'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''blockMeshDict'''] Highlight: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''40 40'''&lt;br /&gt;
|| Change the '''number of cells''' in '''x''' and '''y direction''' as shown.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''blockMeshDict'''] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Save &amp;gt;&amp;gt; Close the window&lt;br /&gt;
|| Save and close the file.&lt;br /&gt;
|- &lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| Since we have changed the number of cells, we need to update the '''time step'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is to ensure that the '''Courant number''' is less than '''1'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''gedit system/controlDict'''&lt;br /&gt;
|| Let’s open the '''controlDict''' file in a '''text editor'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''controlDict'''] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Highlight: '''0.0025'''&lt;br /&gt;
|| For the refined '''mesh''', the calculated '''time-step''' is '''0.0025 s'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Update '''deltaT''' as shown.&lt;br /&gt;
|- &lt;br /&gt;
|| [gedit - '''controlDict'''] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Save &amp;gt;&amp;gt; Close the window&lt;br /&gt;
|| Save and close the file.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type: '''blockMesh'''&lt;br /&gt;
|| Since we have changed the '''meshing parameters''', we need to '''mesh''' the '''geometry''' again.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
On the '''terminal''', type the '''command''' as shown.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type: &lt;br /&gt;
&lt;br /&gt;
'''ls'''&lt;br /&gt;
|| Let us view the contents of the '''cavity''' folder.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type '''ls''' in the '''terminal.'''&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Highlight: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''0.1 0.2 0.3 0.4 0.5'''&lt;br /&gt;
|| We can see that the files from the '''previous run''' exist in the '''cavity''' folder.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''foamListTimes -rm'''&lt;br /&gt;
|| Let’s remove these files by typing this '''command'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''icoFoam'''&lt;br /&gt;
|| Let’s run the '''icoFoam solver'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''paraFoam'''&lt;br /&gt;
|| And view the results in '''ParaView '''by typing '''paraFoam.'''&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click '''Apply''' &amp;gt;&amp;gt; Click on '''vtkBlockColors''' &amp;gt;&amp;gt; Click on '''p '''&amp;gt;&amp;gt; Click on '''Last Frame '''&amp;gt;&amp;gt; Click on '''Probe Location '''&amp;gt;&amp;gt; Click '''Apply'''&lt;br /&gt;
|| Let us find the value of the '''pressure field''' at the '''centre '''of the''' domain''' at the '''final time step'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
As explained earlier, we use the '''Last Frame''' option to move to the '''final time step'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
And, we use the '''Probe Location filter''' to find the '''data''' at the '''centre of the domain'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] '''SpreadSheetView'''&lt;br /&gt;
|| We can see the value of the '''pressure field''' at the '''centre '''of the''' domain'''.&lt;br /&gt;
|- &lt;br /&gt;
|| [ParaView] Close the Window&lt;br /&gt;
|| Close the '''ParaView''' window.&lt;br /&gt;
|- &lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| Similarly, we can find the pressure at the '''centre''' for more number of cells.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Note that the '''time step''' is changed for each '''run''' depending on the '''cell size'''.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Pressure at the Centre&lt;br /&gt;
|| The following table shows the '''pressure values''' for various '''numbers of cells'''.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Pressure at the Centre&lt;br /&gt;
|| This is the '''Pressure versus number of cells''' plot based on the '''data'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Let’s consider that values within the order of '''10&amp;lt;sup&amp;gt;-3'''&amp;lt;/sup&amp;gt; are acceptable.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
We can see that the pressure values at '''6400''' and '''25600 cells''' differ only by an order of '''10&amp;lt;sup&amp;gt;-4'''&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Any more '''refinement''' than '''6400 cells,''' will only give us results that differ by less than '''10&amp;lt;sup&amp;gt;-3'''&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Therefore, the results from a '''mesh''' having '''6400 cells''' or more, surely gives acceptable results.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In other words, the results become independent of the '''mesh,''' if it has more than '''6400 cells'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
What we have just performed is called a '''grid independence study'''. &lt;br /&gt;
|- &lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| The '''Additional Reading Material''' has more details on '''grid independence study'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Please refer to it.&lt;br /&gt;
|- &lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| With this we have come to the end of the tutorial.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Let’s summarize.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Summary&lt;br /&gt;
|| In this tutorial, we have learnt to:&lt;br /&gt;
* '''Refine''' a '''mesh''' using '''blockMeshDict'''&lt;br /&gt;
* Change the '''time step''' to achieve '''numerical stability''', and&lt;br /&gt;
* Perform a '''grid independence''' '''study'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: About the Spoken Tutorial Project&lt;br /&gt;
|| The video at the following link summarises the Spoken Tutorial project.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Please download and watch it.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Spoken Tutorial Workshops&lt;br /&gt;
|| We conduct workshops using Spoken Tutorials and give certificates.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Please contact us.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Spoken Tutorial Forum&lt;br /&gt;
|| Please post your timed queries in this forum.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: FOSSEE Forum&lt;br /&gt;
|| &lt;br /&gt;
* Do you have any general/technical questions?&lt;br /&gt;
* Please visit the forum given in the link.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: FOSSEE Case Study Project&lt;br /&gt;
|| &lt;br /&gt;
* The FOSSEE team coordinates solving feasible CFD problems of reasonable complexity using OpenFOAM.&lt;br /&gt;
* We give honorarium and certificates to those who do this.&lt;br /&gt;
* For more details, please visit these sites.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Spoken Tutorial &lt;br /&gt;
|| The Spoken Tutorial project is supported by MHRD, Govt. of India.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The script for this tutorial is contributed by Ashley Melvin.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
And this is Swetha Sridhar from IIT Bombay signing off.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Thank you for joining.&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Ashleymelvin</name></author>	</entry>

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