期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 218, 期 1, 页码 19-43出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2006.01.044
关键词
the generalized Riemann problem scheme; the Eulerian version; Riemann invariants; characteristic coordinates
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. (c) 2006 Elsevier Inc. All rights reserved.
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