International Conference on Numerical Analysis and Applied Mathematics
SEP 22-28 2014
A new flux splitting method named K-CUSP scheme is proposed in the paper. The major difference between K-CUSP and two traditional CUSP schemes is that all kinematic quantities and all thermodynamic quantities in total enthalpy will be separately split into convective term and pressure term. The present scheme adopts the cell-face Mach number splitting method of AUSM+ scheme and the interface flux of pressure term is given a new way in the subsonic regime. Numerical solutions demonstrate that the new scheme inherits the simplicity and robustness of FVS schemes which overcomes the shortcomings of pressure overshoot of shock wave in H-CUSP and E-CUSP schemes but also retains the high-resolution of FDS schemes which achieves the high accuracy of contact discontinuity and shock discontinuity.