Using Multi-media Ppm Numerical Simulation Of Oblique Shock And Material Interface Of The Interaction

It is one of the hotspots to develop the numerical methods for multi-fluids and to simulate the complex flows. The common method is using the mass fraction model equations. In order to avoid the pressure oscillation near the interface, many numerical methods are put forward. Abgrall obtained the evolution equations for volume" fraction on the assumption that the pressure retains in equilibrium and the velocity is consistent. Then he combined the evolution equations with the Euler equations, and finally got the model equations based on the quasi-conservative equations. Shyue developed the method to the quasi-conservative Eulerequations grounded on the y -model and the volume-fraction model for the multi-fluids instiffened gas equations of state.In this paper, a simple fluid-mixture type PPM algorithm for multi-component flow, which combines the fluid-mixture model of Abgrall/Shyue and the classic Piecewise-Parabolic -Method (PPM), is developed to simulate the compressible multi-fluid flows. ID and 2D numerical results show that the method can solve the multi-fluids interfacial flows correctly and be robust for high density-ratio flow and large difference of EOS at both sides of the interface. In this paper, we also present the results of numerical computations of the refraction of a plane shock wave at the different interfaces using the multi-components PPM method. We present the evolvement of the interfaces because of the baroclinic effects on the interface, especially the case of the strong shock striking at the interfaces as well.