讲座内容摘要：

In the present work, a simple flux difference splitting scheme based on the idea of convection-pressure splitting is proposed. The flux of 3D Euler equations is split into the convection part and the pressure part. The pressure subsystem can be solved by the conventional flux difference splitting method. The weakly hyperbolic convection subsystem is solved by the flux difference splitting scheme based on the generalized eigenvectors. A strategy that combines the THINC reconstruction with the BVD algorithm is employed on the numerical dissipation term of the convection flux to further improve the resolution for contact discontinuities.