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A simple robust genuinely multidimensional convective pressure split (CPS) ,contact preserving, shock stable Riemann solver (GM-K-CUSP-X) for Eulerequations of gas dynamics is developed. The convective and pressure componentsof the Euler system are separated following the Toro-Vazquez type PDE fluxsplitting [Toro et al, 2012]. Upwind discretization of these components areachieved using the framework of Mandal et al [Mandal et al, 2015]. Therobustness of the scheme is studied on a few two dimensional test problems. Theresults demonstrate the efficacy of the scheme over the correspondingconventional two state version of the solver. Results from two classic strongshock test cases associated with the infamous Carbuncle phenomenon, indicatethat the present solver is completely free of any such numerical instabilitiesalbeit possessing contact resolution abilities.Such a finding emphasizes thepre-existing notion about the positive effects that multidimensional flowmodelling may have towards curing of shock instabilities.

An accurate and robust genuinely multidimensional Riemann solver for Euler equations based on TV flux splitting