欧拉方程数值求解的高精度通量分裂方法.

A new scheme to couple the energy-convective upwind and split pressure (E-CUSP) scheme with the weighted essentially non-oscillatory (WENO) scheme is proposed for Euler equation. In the spatial direction, the flux of low dissipation E-CUSP scheme is reconstructed using high-precision WENO scheme. Fourth-order total variation reduction Runge-Kutta method is used for propulsion in time direction. On this base, a high accuracy flux splitting method for solving Euler equation is proposed. It is found through numerical simulation of shock tube that the proposed scheme can be used to simulate the shock tube problem and capture the shock wave and contact discontinuity more accurately compared to E-CUSP scheme. The numerical results show that the proposed scheme has higher accuracy and robustness. [ABSTRACT FROM AUTHOR]