Title
A new genuinely two-dimensional Riemann solver for multidimensional Euler and Navier–Stokes Equations
Abstract
A novel two-dimensional flux splitting Riemann solver called ME-AUSMPW (Multi-dimension E-AUSMPW) is proposed. By borrowing the Balsara’s idea, it is built upon the Zha–Bilgen splitting procedure and considers both the waves orthogonal to the cell interfaces and the waves transverse to the cell interfaces. Systematic numerical cases, including the one dimensional Sod shock tube case, the double Mach reflection of a strong shock case, the two-dimensional Riemann problem, the hypersonic viscous flows over the two-dimensional Double-ellipsoid case, and the shock wave/laminar boundary layer interaction problem, are carried out. Results show that the ME-AUSMPW scheme proposed in this manuscript is with a higher resolution than conventional one-dimension Riemann solvers in simulating not only inviscid complex flows, but also viscous flows. Therefore, it is promising to be widely used in both scholar and engineering areas.
Year
DOI
Venue
2019
10.1016/j.cpc.2019.05.011
Computer Physics Communications
Keywords
Field
DocType
Two-dimensional,Riemann solver,Euler equations,Flux splitting,E-AUSMPW
Inviscid flow,Hypersonic speed,Mathematical analysis,Riemann hypothesis,Sod shock tube,Mach reflection,Mathematics,Riemann problem,Navier–Stokes equations,Riemann solver
Journal
Volume
ISSN
Citations 
243
0010-4655
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Feng Qu113.40
Di Sun275.86
Junqiang Bai300.34