A new flux splitting scheme for the Euler equations II: E-AUSMPWAS for all speeds

We propose a new scheme called E-AUSMPWAS (E-AUSMPW modified for all speeds) for both cases of low speeds and high speeds. This scheme adopts the Zha-Bilgen splitting procedure and constructs the mass flux as E-AUSMPW. Also, it improves the construction of the pressure flux for low speeds according to theoretical analyses. In terms of the component pu, the E-AUSMPWAS scheme adopts a different method to make it accord with theory better. Series of numerical experiments show that both E-AUSMPWAS and E-AUSMPW are robust against the shock anomaly and the unphysical 'overheating' phenomenon in the receding problem. Also, the E-AUSMPWAS scheme is with a high resolution at both high speeds and low speeds. These properties suggest that the E-AUSMPWAS scheme is promising to be widely used to accurately and efficiently simulate both simple and complex flows at all speeds.