An efficient cell-centered diffusion scheme for quadrilateral grids
An efficient cell-centered diffusion scheme for quadrilateral grids
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DOI：
10.1016/j.jcp.2008.11.031
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发表时间：
2009-04
期刊：
影响因子：
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通讯作者：
M. Basko;J. Maruhn;A. Tauschwitz
中科院分区：
文献类型：
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作者：
M. Basko;J. Maruhn;A. Tauschwitz
提出了一种在结构四边形网格上求解二维扩散方程的新算法。该算法基于半隐式时间离散化方法，在空间上具有九点局部模板。我们的方案速度快、精度高，并表现出良好的空间收敛特性。数值试验表明，该方法非常适用于以单元为中心的主变量为中心的HELD程序。
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.