TY - JOUR
T1 - A direct Eulerian GRP scheme for compressible fluid flows
AU - Ben-Artzi, Matania
AU - Li, Jiequan
AU - Warnecke, Gerald
PY - 2006/10/10
Y1 - 2006/10/10
N2 - 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.
AB - 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.
KW - Characteristic coordinates
KW - Riemann invariants
KW - The Eulerian version
KW - The generalized Riemann problem scheme
UR - http://www.scopus.com/inward/record.url?scp=33748558739&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2006.01.044
DO - 10.1016/j.jcp.2006.01.044
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AN - SCOPUS:33748558739
SN - 0021-9991
VL - 218
SP - 19
EP - 43
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -