An efficient cell-centered diffusion scheme for quadrilateral grids

Authors:
M. M. Basko;J. Maruhn;An. Tauschwitz
Affiliations:
GSI, Darmstadt, Germany;Frankfurt University, Frankfurt, Germany;Frankfurt University, Frankfurt, Germany
Venue:
Journal of Computational Physics
Year:
2009

Citing 5
Cited 3

Solving diffusion equations with rough coefficients in rough grids

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A cell-centered diffusion scheme on two-dimensional unstructured meshes

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Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

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Monotone finite volume schemes for diffusion equations on polygonal meshes

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Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes

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A cell functional minimization scheme for parabolic problem

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A nine-point scheme with explicit weights for diffusion equations on distorted meshes

Applied Numerical Mathematics

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Abstract

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.