界面追踪方法中的激波限制器研究

Shock Limiter in Front Tracking Method

针对多介质流体界面追踪(Front Tracking)方法,通过在界面处构造Riemann问题,研究激波限制器应用过程中的若干基本问题.针对气-气和气-水界面问题,通过比较平均守恒误差、L1误差和激波强度随参数的变化情况,给出激波限制器参数可以在0.3附近选取.同时,通过理论分析和数值算例发现,当有激波接近界面时,选择激波波后状态作为界面处Riemann问题的初始状态,数值模拟结果较满意.

Riemann problems are constructed at interface in front tracking（FT） method for multi-fluid flows to study application of shock limiter. In gas-gas and gas-water problems, shock limiter parameter is selected about 0.3 considering average conservation error, L1 error and strength of the shock. It is indicated that in order to obtain better solutions the back shock wave should be selected as an original state for Riemann problems at the interface as a shock is close to a material interface.