A genuinely multidimensional convective pressure flux split Riemann solver for Euler equations
A very simple new genuinely multidimensional HLL type Riemann solver for Euler equations is proposed. Due to the use of closed form expressions for the fluxes, the present method is easier to apply. The contact discontinuity is restored using the HLL-CPS formulation without the need for independently specifying its direction of evolution. Numerical test results demonstrate the efficacy of the present method of its ability to capture accurate solutions.
genuinely multidimensional riemann solver euler equations convectivepressure flux splitting contact capturing