A direct Eulerian GRP scheme for compressible fluid flows
A direct Eulerian GRP scheme for compressible fluid flows
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DOI：
10.1016/j.jcp.2006.01.044
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发表时间：
2006-10
期刊：
影响因子：
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通讯作者：
M. Ben-Artzi;Jiequan Li;G. Warnecke
中科院分区：
文献类型：
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作者：
M. Ben-Artzi;Jiequan Li;G. Warnecke
推导了可压缩流体流动的直接欧拉广义黎曼问题(GRP)格式。引入黎曼不变量作为欧拉公式直接求解广义黎曼问题(GRP)的主要成分。在本框架中，原GRP格式中的关键辅助拉格朗日格式是不必要的。利用分维技术可以方便地处理精细的声学问题，并将其推广到多维声学问题。
A direct Eulerian generalized Riemann problem (GRP) scheme is derived for compressible fluid flows. Riemann invariants are introduced as the main ingredient to resolve the generalized Riemann problem (GRP) directly for the Eulerian formulation. The crucial auxiliary Lagrangian scheme in the original GRP scheme is not necessary in the present framework. The delicate sonic cases can be easily treated and the extension to multidimensional cases is obtained using the dimensional splitting technique.