适用于Mie-Grüneisen状态方程的一种通用激波限制器

General Shock Limiter for Mie-Grüneisen Equation of State

为了求解含Mie-Grüneisen状态方程多介质可压缩流动问题,针对界面追踪方法,发展了一种通用的激波限制器。根据平均守恒误差及L1误差随参数的变化情况,确定了参数的范围。由于表达式不含有状态方程中的物性参数,所以它适用于任何一种形式的状态方程。通过具体算例分析了激波限制器的开关闭状态。数值结果表明文中构造的激波限制器可以用于计算含强激波的一般状态方程的多介质可压缩流动问题。

In order to treat the problem of compressible multi-fluid flows wtth Mie-Gruneisen equation of state, a general shock limiter is developed for front-tracking method. The parameter of shock limiter is selected according to the change of average conservative error and L1 error when the parameter is changing. The shock limiter is suitable for any equation of state because the expression does not contain any material-dependent parameter of the equation of state. The open and closed states of the shock limiter are analyzed. The results show that the algorithm can solve strong shock-interface interactions of compressible multi-fluid flows with general equation of state.