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An efficient cell-centered diffusion scheme for quadrilateral grids

✍ Scribed by M.M. Basko; J. Maruhn; An. Tauschwitz

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 720 KB
Volume: 228
Category: Article
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2008.11.031

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✦ Synopsis

A new algorithm for solution of diffusion equations in two dimensions on structured quadrilateral grids is proposed. The algorithm is based on a semi-implicit method for the time discretization and has a nine-point local stencil in space. Our scheme is fast, quite accurate and demonstrates good spatial convergence. The presented numerical tests show that it is well suited for hydrocodes with cell-centered principal variables.

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