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Compact scheme for nonuniform grid?

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  • 1 Post By Harish

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Old   June 29, 2008, 03:39
Default Compact scheme for nonuniform grid?
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Hi, everyone:

Is there any compact finite difference scheme for 1-dimensional nonuniform grid? I hope it is easy to follow. Thanks.
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Old   June 29, 2008, 13:52
Default Re: Compact scheme for nonuniform grid?
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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.

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Old   June 29, 2008, 19:21
Default Re: Compact scheme for nonuniform grid?
Peter Attar
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You can use coordinate transformations. See papers by Visbal et al where they use high order compact schemes in 3D for nonuniform grids.

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Old   July 1, 2008, 23:44
Default Re: Compact scheme for nonuniform grid?
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Dear Peter, Can you give the title of the paper you suggested author is visbal et al
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