应用多介质PPM方法计算斜激波与物质交界面的相互作用

Numerical Computations of the Refraction of a Shock Wave at Interface by Multi-component PPM Algorithm

利用多介质PPM方法研究斜激波与物质交界面的相互作用.采用与体积分数耦合的Euler方程组作为计算模型,用双波近似来求解一般刚性气体状态方程Riemann问题.通过体积分数的计算来获得界面的位置,在整个流场采用统一的高阶PPM格式进行计算.文中对斜激波与不同物质界面相互作用进行了数值模拟,并给出了交界面上由于斜压效应产生的涡列的演化过程,特别是强斜激波与不同物质界面的相互作用的情况.

It presents numerical computation results of the refraction of a plane shock wave at the different interfaces. The unsteady, two-dimensional, compressible, Euler equations are solved numerically assuming stiffened gas equation of state. The numerical method used is PPM (Piecewise Parabolic Method) method for multi-component. On basis of solving the Riemann problem using two-shock approximation the interface can be determined by computing the volume-fraction in terms of the high-order PPM method in the whole computational field. This method is also used to compute some case of the inter-action when the shock wave meets the interfaces of the different fluids. It also gives the evolvement of interfaces due to baroclinic effects on the interface, especially in the cases of strong shock striking at the interfaces.