A hybrid flux splitting method for compressible flow

A hybrid flux splitting scheme, called AUSM⁺–FVS((advection upstream splitting method)⁺–flux vector splitting), is proposed in this article to calculate the inviscid fluxes of Euler/Navier–Stokes equations. This new scheme is obtained by hybridizing the AUSM+ scheme with FVS method. When the local Mach number tends to zero, this scheme is similar to the AUSM+. Contrarily, this scheme is similar to the FVS at the shock region. Thus, this scheme has the accuracy of AUSM+ in boundary layer region and the robustness of FVS in shock region. Several numerical tests show that AUSM⁺–FVS can reduce the shock instability and has a good accuracy in boundary layer region.