An efficient cell-centered diffusion scheme for quadrilateral grids

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 spat...

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Veröffentlicht in:	Journal of computational physics 2009-04, Vol.228 (6), p.2175-2193
Hauptverfasser:	Basko, M.M., Maruhn, J., Tauschwitz, An
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Cell-centered scheme Computational techniques Convergence Diffusion Diffusion equation Discretization Exact sciences and technology Mathematical analysis Mathematical methods in physics Mathematical models Physics Quadrilateral grid Quadrilaterals Two dimensional
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Beschreibung
Zusammenfassung:	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.
ISSN:	0021-9991 1090-2716
DOI:	10.1016/j.jcp.2008.11.031