Understanding the cyclic boundary condition

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February 13, 2014, 10:54
Understanding the cyclic boundary condition
#1
Member

Vincent Leroy
Join Date: Jul 2012
Location: Rhode-Saint-Genèse, Belgium
Posts: 43
Rep Power: 6
Dear foamers,

I need to solve problems with cyclic BCs 'all around the place'. To be clearer, this is the geometry I am considering:
https://www.dropbox.com/s/amuzikceam...nder_array.png

On this screenshot, the colouring is the velocity (U) magnitude, U being obtained using the simpleFoam solver and a uniform inlet BC on the x = 0 face. What I want to do is simply simulate the flow in the (6,4) cell using periodic boundary conditions:
https://www.dropbox.com/s/v5nz4mvx6user06/6-4_cell.png

Firstly, let's have a look at what we want to reproduce. Here are the velocity magnitude and orientation in the (6,4) cell (let's call this the reference problem):
https://www.dropbox.com/s/8eivt2e1ai...eference_U.png
This velocity field seems periodic. If we subtract a periodic field from this one, we should get another periodic field, maybe better as an evidence. So we do that and plot the so-called deviation field, UTilde, obtained by subtracting the volume average of U (which is constant over the cell) from U:

UTilde = U - UAverage

Here is what we get:
https://www.dropbox.com/s/8gnccd1pzy...nce_UTilde.png
This deviation field is periodic 'x-wise' and 'y-wise'.

I tried to simulate the flow in the (6,4) cell using the simpleFoam solver (though if might not be the best, AFAIK; anyway, this is not the worst problem here). I therefore simply applied cyclic patches at the boundaries of the cell. Although this insufficiently constraints the problem, the SIMPLE algorithm converges to a solution which only depends on the initial condition, yielding the following velocity field:
https://www.dropbox.com/s/rufn5k53mf...periodic_U.png

Given that image, we can doubt that this field is periodic. The deviation field gives a clearer proof:
https://www.dropbox.com/s/nf81rnnj4h...dic_UTilde.png
UTilde is not periodic, while it should be.

So here is my question: Is there any reason why the periodic BC wouldn't be satisfied in the cyclic problem? Did I do something wrong?

The associated OpenFOAM cases come attached. Screenshot gallery:
https://www.dropbox.com/sh/hmq2qx6jcvjc6lx/LFKCB1X32b
Attached Files
 multiCylinder_simpleFoam.zip (75.5 KB, 4 views) singleCylinderPeriodic_simpleFoam.zip (63.3 KB, 13 views)

Last edited by leroyv; February 13, 2014 at 11:05. Reason: Corrected bad hyperlinks

 February 13, 2014, 13:08 Update #2 Member   Vincent Leroy Join Date: Jul 2012 Location: Rhode-Saint-Genèse, Belgium Posts: 43 Rep Power: 6 I ran an additional simulation with a correctly constrained problem, replacing the inlet and outlet cyclic patches with regular inlet and outlet patches. Inlet: zeroGradient pressure, fixedValue uniform velocity Outlet: fixedValue uniform pressure, zeroGradient velocity https://www.dropbox.com/s/38s9ap0ev5...periodic_U.png The 'y-wise' periodicity is not satisfied either. Last edited by leroyv; February 13, 2014 at 13:18. Reason: Added screenshot

February 14, 2014, 06:30
#3
Member

shinji nakagawa
Join Date: Mar 2009
Location: Japan
Posts: 33
Rep Power: 9
hi,

something in cyclic patch in your original case is wrong.
checkMesh shows some error.

Using createPatch fixed this problem.
a modified case with createPatchDict and modified Allrun is here,
singleCylinderPeriodic_simpleFoam_createPatch.zip

Periodic fields is obtained with this case. tested with OF222.

Quote:
 Originally Posted by leroyv I ran an additional simulation with a correctly constrained problem, replacing the inlet and outlet cyclic patches with regular inlet and outlet patches. Inlet: zeroGradient pressure, fixedValue uniform velocity Outlet: fixedValue uniform pressure, zeroGradient velocity https://www.dropbox.com/s/38s9ap0ev5...periodic_U.png The 'y-wise' periodicity is not satisfied either.

February 14, 2014, 13:38
Problem solved
#4
Member

Vincent Leroy
Join Date: Jul 2012
Location: Rhode-Saint-Genèse, Belgium
Posts: 43
Rep Power: 6
Thank you very much! It seems like patch orientation is much more of a big deal than I expected.

Quote:
 Originally Posted by snak hi, something in cyclic patch in your original case is wrong. checkMesh shows some error. Using createPatch fixed this problem. a modified case with createPatchDict and modified Allrun is here, Attachment 28671 Periodic fields is obtained with this case. tested with OF222.

 March 20, 2014, 10:01 #5 Member   Vincent Leroy Join Date: Jul 2012 Location: Rhode-Saint-Genèse, Belgium Posts: 43 Rep Power: 6 Dear foamers, I have an additional question about the cyclic boundary condition: what does it actually do? Does it ensure equality of fields and derivatives at the associated boundaries? Or does it only ensure equality of fields?

 Tags cyclic bc, periodic bc, simplefoam

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