两介质流界面-激波相互作用RKDG 方法应用分析

为精确模拟多介质流界面运动现象,采用RKDG方法结合虚拟流体方法对气-气、气-液和液-气等多种界面-激波相互作用问题展开研究。数值结果表明,RKDG方法的时空高精度特征使其能够精确、稳健地求解各种复杂界面运动问题。最后,对水下激波自由面折射问题用多种DG格式限制器进行了计算,对比了它们的间断捕捉能力。

The application and analysis of Runge-Kutta discontinuous Galerkin method for shock interaction with two-medium interface flow

In order to simulate the compressible two-medium flow in high accuracy,the Runge-Kutta discontinuous Galerkin (RKDG) method combining the ghost fluid method has been applied to gas-gas/gas-liquid interface interaction with shock in this paper.The numerical results indicate that the RKDG method is a high order scheme in both temporal and spatial discretization.This method deals with multi-medium complex flow accurately and robustly.Several limiters of the discontinuous Galerkin (DG) method have been used to compute underwater shock refracting at a free surface, and the characteristic behaviors of these limiters have been analyzed in the end.