Abstract | ||
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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. |
Year | DOI | Venue |
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2006 | 10.1016/j.jcp.2006.01.044 | J. Comput. Physics |
Keywords | Field | DocType |
main ingredient,riemann invariants,characteristic coordinates,the eulerian version,direct eulerian generalized riemann,compressible fluid flow,the generalized riemann problem scheme,eulerian formulation,delicate sonic case,generalized riemann problem,crucial auxiliary lagrangian scheme,dimensional splitting technique,original grp scheme,direct eulerian grp scheme,riemann problem | Lagrangian,Mathematical analysis,Eulerian path,Fluid dynamics,Riemann hypothesis,Invariant (mathematics),Compressible flow,Riemann problem,Mathematics | Journal |
Volume | Issue | ISSN |
218 | 1 | Journal of Computational Physics |
Citations | PageRank | References |
28 | 3.73 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Matania Ben-Artzi | 1 | 76 | 9.67 |
Jiequan Li | 2 | 106 | 18.06 |
Gerald Warnecke | 3 | 35 | 6.92 |