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-   -   Compact scheme for nonuniform grid? (http://www.cfd-online.com/Forums/main/15351-compact-scheme-nonuniform-grid.html)

Dong June 29, 2008 04:39

Compact scheme for nonuniform grid?
 
Hi, everyone:

Is there any compact finite difference scheme for 1-dimensional nonuniform grid? I hope it is easy to follow. Thanks.

Harish June 29, 2008 14:52

Re: Compact scheme for nonuniform grid?
 
The paper by Gamet et. al ,COMPACT FINITE DIFFERENCE SCHEMES ON NON-UNIFORM MESHES. APPLICATION TO DIRECT NUMERICAL SIMULATIONS OF COMPRESSIBLE FLOWS International Journal for Numerical Methods in Fluids (1999) discusses the derivation of fourth-order compact scheme on non-uniform grids which is equivalent to the sixth-order scheme of Lele on uniform grids.


Peter Attar June 29, 2008 20:21

Re: Compact scheme for nonuniform grid?
 
You can use coordinate transformations. See papers by Visbal et al where they use high order compact schemes in 3D for nonuniform grids.


dsk July 2, 2008 00:44

Re: Compact scheme for nonuniform grid?
 
Dear Peter, Can you give the title of the paper you suggested author is visbal et al


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