A robust flux splitting method with low dissipation for all-speed flows

In this paper, we propose a simple robust flux splitting method for all-speed flows with low dissipation. Following the Toro-Vazquez splitting, the inviscid flux is split into the convective and the pressure parts first. Then, we apply the Harten-Lax-van Leer (HLL) algorithm to each parts with low dissipation modification. Here, the modification improves the method with accurately resolving contact discontinuity and high resolution for low speed flows. Several carefully chosen numerical tests are investigated, and the results show that the proposed scheme is capable of resolving contact discontinuity, robust against the shock anomaly and accurate at all-speeds. Because of these properties, it is expected to be widely applied to all-speed flow studies.