# References for FVM

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 February 20, 2002, 10:24 References for FVM #1 Anthony Wachs Guest   Posts: n/a Hi everybody, I recently tried to find some references about FVM and especially those that detail the derivation of the discretization schemes for general geometries. In the past I developed FVM numerical codes based on staggered grids and rectangular control volumes. Therefore, I feel like I know quite well the schemes derivation techniques for this special case. But now I would like to find out how the FVM is generalized to non-rectangular geometries (with non-rectangular quad and triangular control volumes) and non-staggered grid (i.e. colocated grid). How are the flux evaluated at the cell faces ? Comparisons between staggered and colocated strategies (when both can be considered) ? ... I already read the very well known book by Patankar and I recently purchased the book written by Versteeg and Malalasekera "An introduction to CFD : the Finite Volume Method". I was really disappointed since the latter (as the former) only deals with rectangular geometries and staggered grids. Thus, could someone advice me concerning a good reference explaining clearly the complete derivation of FVM schemes for non rectangular geometries (and controle volumes) and colocated grid ? Thanks in advance for your contribution Anthony

 February 20, 2002, 10:36 Re: References for FVM #2 frank Guest   Posts: n/a Do you mean polygonal shaped control volumes (if not quad or triangular elements) ? Look at the answer to a question regarding unstructured quad meshes (just search for "quad" in this forum). There I already gave a reference to a thesis for FV schemes on arbitrary grids. (all for compressible flow !) Frank

 February 20, 2002, 11:19 Re: References for FVM #3 Jongdae Kim Guest   Posts: n/a What about trying immersed-boundary method ?

 February 20, 2002, 11:49 Re: References for FVM #4 ma Guest   Posts: n/a what is immersed-boundary method please

 February 20, 2002, 15:08 Re: References for FVM #5 Jongdae Kim Guest   Posts: n/a A kind of somewhat recently developed method(?). For simulation of complex/moving boundary problems using (fixed) Cartesian grids. Kim.

 February 20, 2002, 15:09 Re: References for FVM #6 Frederic Felten Guest   Posts: n/a Hi there, Check out the the following article (ps format) I wrote with Dr. T.S. Lund, about Collocated Vs Staggered (To be submitted to J. Comp. Phys.) http://aero.uta.edu/~felten/resume/taicdl_art.ps sincerely, Frederic Felten.

 February 20, 2002, 18:06 Re: References for FVM #7 Li Yang Guest   Posts: n/a Hello, all, I would also like to know if there is any good book or thesis which describe the FVM clearly for incompressible flow with structured grid in a curvilinear coordinate system. i.e. a book which is similar as Versteeg's except that it is in curvilinear coordinates. Regards Li Yang

 February 20, 2002, 18:09 Re: References for FVM #8 Li Yang Guest   Posts: n/a Hello, all, I would also like to know if there is any good book or thesis which describe the FVM clearly for incompressible flow with structured grid in a curvilinear coordinate system. i.e. a book which is similar as Versteeg's except that it is in curvilinear coordinates. Regards Li Yang

 February 20, 2002, 19:23 Re: References for FVM #9 Sebastien Perron Guest   Posts: n/a Based on the theoratical results presented in hanbooks of numerical analysis, volume 7, Finite Volume Methods (the authors are Eymard, Gallouet and Herbin, 2001). I developed a Finite Volume Scheme for unstructured grid with constant interpolations functions (this is not CVFEM, nor FVEM, nor discountinous Galerkin). If you are interested, I could give you a copy of a proceding, and If you can read french, a copy of my thesis.