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.
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