高密度比多介质可压缩流动的PPM方法

PIECEWISE PARABOLIC METHOD FOR COMPRESSIBLE FLOWS OF MULTIFLUIDS WITH HIGH DENSITY RATIOS

摘要: 介绍一种基于流体体积分数模型的界面捕捉方法,数值模拟高密度比及含强激波的多介质可压缩流动.将PPM方法应用到多介质体积分数形式的Euler方程组,用双波近似求解一般刚性气体状态方程Riemann问题,可方便处理界面强剪切的滑移线问题,并给出了水下激波和气泡相互作用以及多相Richtmyer Meshkov不稳定性的计算结果.

Abstract: A high order Piecewise Parabolic Method (PPM) is applied to simulate compressible multifluids flows with a stiffened gas equation of state in multi dimensions, which allows high density ratios and strong shock waves. Several test problems are presented for one and two dimensions.