TVD scheme in unstructured finite volume discretization

abcdef123 · October 11, 2010, 15:16

Hi,

I am trying to extend the TVD scheme to an unstructured finite volume discretization. The problem is determining r for this scheme in the unstructured mesh domain, which is defined as the local ratio of upstream gradient to downstream gradient (from Coputational Fluid Dynamics: The FVM by Versteeg and Malalasekera). Any help with this would be greatly appreciated.

Thanks in advance.

ganesh · October 11, 2010, 18:05

Dear abcdef,

Although not directly relevant to your question, please take a look at Jasak's paper on developing higher order NVD schemes for unstructured meshes. These are related to TVD, and the paper talks about developing Gamma scheme, which wroks fine for a range of problems on arbitrary polgonal meshes. You can google the paper, I don't recall the exact title.

Regards,

Ganesh

dokeun · January 16, 2013, 01:26

Now I'm reading 'TVD schemes for unstructred grids', M.S.Darwish, Int. J of Heat and mass transfer, 2003, 599-611
I just leave this message for someone else...

October 11, 2010, 15:16	TVD scheme in unstructured finite volume discretization	#1
abcdef123 New Member abcdef123 Join Date: Dec 2009 Posts: 17 Rep Power: 16	Hi, I am trying to extend the TVD scheme to an unstructured finite volume discretization. The problem is determining r for this scheme in the unstructured mesh domain, which is defined as the local ratio of upstream gradient to downstream gradient (from Coputational Fluid Dynamics: The FVM by Versteeg and Malalasekera). Any help with this would be greatly appreciated. Thanks in advance.

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October 11, 2010, 18:05		#2
ganesh Member ganesh Join Date: Mar 2009 Posts: 40 Rep Power: 17	Dear abcdef, Although not directly relevant to your question, please take a look at Jasak's paper on developing higher order NVD schemes for unstructured meshes. These are related to TVD, and the paper talks about developing Gamma scheme, which wroks fine for a range of problems on arbitrary polgonal meshes. You can google the paper, I don't recall the exact title. Regards, Ganesh

January 16, 2013, 01:26		#3
dokeun Member Dokeun, Hwang Join Date: Apr 2010 Location: Korea, Republic of Posts: 98 Rep Power: 16	Now I'm reading 'TVD schemes for unstructred grids', M.S.Darwish, Int. J of Heat and mass transfer, 2003, 599-611 I just leave this message for someone else...