Van der Waals状态方程可压缩多流体流动的PPM方法

基于流体体积分数的混合型多流体数值模型，将Piecewise Parabolic Method（PPM）方法应用于可压缩多流体流动的数值模拟，采用双波近似求解多流体van der Waals状态方程的Riemann问题．模拟高密度比且含有激波的可压缩多流体流动，典型的纯界面平移问题模拟结果表明，在接触间断的界面附近，压力和速度没有任何的振荡且界面数值耗散都被控制在2—3个网格之内；一维和二维算例表明，该数值方法可以有效地处理接触间断、激波和多维滑移线等物理问题，并能够比其它多流体数值方法更精细地模拟多流体交界面．

Piecewise Parabolic Method for Compressible Multi-fluid Flows with van der Waals Equation of State

In a compressible fluid-mixture model based on volume fraction, a high-order piecewise parabolic method(PPM) is employed to solve multi-fluid flows characterized by the van der Waals equation of state.A double shock approximation is used in the Riemann solver.Simulation on a pure interface problem indicates that the pressure and velocity profiles do not show any spurious oscillation at the contact discontinuity and the numerical diffusion is limited within two or three cell grids.It shows that the method deals with such physical problems as contact discontinuity,shock, multi-dimensional slip line efficiently.