Title
A direct Eulerian GRP scheme for compressible fluid flows
Abstract
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
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-Artzi1769.67
Jiequan Li210618.06
Gerald Warnecke3356.92