A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension
A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension
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DOI：
10.1016/j.jcp.2009.04.015
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发表时间：
2009-08
期刊：
影响因子：
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通讯作者：
G. Carré;S. D. Pino;B. Després;E. Labourasse
中科院分区：
文献类型：
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作者：
G. Carré;S. D. Pino;B. Després;E. Labourasse
在任意维的非结构网格上，我们描述了拉格朗日气体动力学的一种格心Goddom格式。该方案的构造是基于一些几何向量的定义，这些几何向量定义在移动网格上。有限体积求解器是基于节点的，并且与网格位移兼容。我们还讨论了边界条件。基本三维试验问题的数值结果表明了该方法的有效性。我们还考虑了一个准不可压缩的测试问题，我们的节点求解器给出了非常好的结果，如果与其他Goddom求解器相比。我们简要讨论了ALE和/或AMR技术的兼容性在这项工作的最后。我们在附录中详细介绍了等参元的系数。
We describe a cell-centered Godunov scheme for Lagrangian gas dynamics on general unstructured meshes in arbitrary dimension. The construction of the scheme is based upon the definition of some geometric vectors which are defined on a moving mesh. The finite volume solver is node based and compatible with the mesh displacement. We also discuss boundary conditions. Numerical results on basic 3D tests problems show the efficiency of this approach. We also consider a quasi-incompressible test problem for which our nodal solver gives very good results if compared with other Godunov solvers. We briefly discuss the compatibility with ALE and/or AMR techniques at the end of this work. We detail the coefficients of the isoparametric element in the appendix.