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 |
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| container_issue | 6 |
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| container_title | Journal of computational physics |
| container_volume | 228 |
| creator | Basko, M.M. Maruhn, J. Tauschwitz, An |
| description | 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. |
| doi_str_mv | 10.1016/j.jcp.2008.11.031 |
| format | Article |
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| ispartof | Journal of computational physics, 2009-04, Vol.228 (6), p.2175-2193 |
| issn | 0021-9991 1090-2716 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | 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 |
| title | An efficient cell-centered diffusion scheme for quadrilateral grids |
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