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 Lilly May 6, 2011 09:49

numerical diffusion in tetrahedral grids

Hello everybody,

I made some cfd-simulations to get the mass fraction of a species passing a tube inside another type of species. Afterwards I was calculating kind of the ”spread” that the species experienced during this pass. Unfortunately the results differ a lot when I am using different grid types. When I am using a tetrahedral grid the spread is pretty low, when I am using a structured hexahedral grid the spread is about two orders of magnitude higher.
Could this effect arise due to the numerical diffusion within the tetrahedral grid?
We also found out that the larger the diffusion coefficient we are using, the smaller the spread of the species. But within a normal range of variation the difference in the spread of the species is not two orders of magnitude.
Can the effect of the numerical diffusion have such a huge impact on the results of my simulations?
It would be really nice, if somebody could help me!

Lilly

 sail May 6, 2011 12:31

thet are intrinsically more diffusive than exa, and in addition thet grid are ususlly relatively coarser than exa given a fixed number of cells, becuase you need 8 thet to resolve a hexa.

 Lilly May 27, 2011 10:13

minimise/avoid numerical diffusion in tetrahedral mesh

Thank you for your help, sail!

Does anybody know how I can minimise or (in best case) avoid this numerical diffusion?
I am using the QUICK Scheme know which leads to a much better result, but is there a way to improve the results even more? I thought of maybe reducing the time step size to get a CFL number of about one? Does anybody has experience with this?
Lilly

 sail May 27, 2011 11:08

from my experience:

cfl between 1 and 12
y+ no less than 30 and no bigger than 100, higher or lower values increase the diffusion
timestep as small as possible.
grid must be aligned with the flow, and possibly refined as much as possible where you have the "phase change"
at least second order in space, settle for first order in time, otherwise there might be some instabilities.

take notice that i have never done pipes simulations so the parameters might vary.

good luck

 baserinia May 29, 2011 17:57

Quote:
 Originally Posted by Lilly (Post 309529) Does anybody know how I can minimise or (in best case) avoid this numerical diffusion?
As Sail mentioned, the grid must be aligned with the flow velocity. In my experience, a tetrahedral grid introduces an enormous amount of numerical diffusion. What is the geometry that you are modelling? If it is a simple tube, you should use an extruded grid along the length of the tube.

 Lilly May 30, 2011 07:40

Thank you sail and baserinia for your help!

I will try to improve the cfl-number timestep size and y+.

Unfortunately, my geometry has a bifurcation which makes it really hard to create a structured hexahedral grid aligned with the flow (I tried different mrthods in the bifurcation area, but failed). Do you have any idea how to circumvent this problem?

Lilly

 baserinia May 30, 2011 10:23

1 Attachment(s)
Quote:
 Originally Posted by Lilly (Post 309769) Unfortunately, my geometry has a bifurcation which makes it really hard to create a structured hexahedral grid aligned with the flow (I tried different mrthods in the bifurcation area, but failed). Do you have any idea how to circumvent this problem? Lilly
Lilly, for a 2D bifurcation, your meshing strategy should look like the one in the picture. You need to define 3 blocks and then mesh each block with quads. In 3D, the general idea is the same. However, at the sections of each tube you need to use a butterfly-grid. It's fairly straightforward but you have to do the blocking manually.

I'm not sure what program you're using for generating your mesh. I usually use ICEM for these sort of things.

 Lilly May 31, 2011 03:59

Thank you for your help Baserinia!

I don't have access to ICEM, but to Gambit and Tgrid. Did you work with them or do you know, whether I can build such a butterfly-grid using them?
Lilly

 baserinia May 31, 2011 10:08

Quote:
 Originally Posted by Lilly (Post 309877) I don't have access to ICEM, but to Gambit and Tgrid. Did you work with them or do you know, whether I can build such a butterfly-grid using them? Lilly
You're welcome! I don't have much experience with Gambit or Tgrid, but any package which alloys you defining and editing blocks should work. As for the butterfly grid, you can find some info here.

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