Abstract
A new flux vector splitting scheme is suggested which uses the velocity component normal to the volume interface as the characteristic speed and yields the vanishing individual mass flux at the stagnation, which may achieve accuracy for viscous flows. The scheme is very simple and easy to implement. The scheme has been applied to solve the one-dimensional and multi-dimensional Euler equations for shock tube flow. The solutions are monotone, and the normal shock wave profiles are crisp. For a one-dimensional shock tube problem with shock and contact discontinuities, the present scheme and Roe's flux difference splitting scheme give the best results compared to those from Van Leer's flux vector splitting scheme (1991) and Liou-Steffen's AUSM scheme (1991). For multi-dimensional transonic flows, sharp monotone normal shock wave profiles with mostly one transition zone are obtained. The results agree well with those from Van Leer's scheme and the AUSM scheme. (Author (CISTI))