A Riemann problem based method for solving compressible and incompressible flows
A Riemann problem based method for solving compressible and incompressible flows
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DOI：
10.1016/j.jcp.2016.10.047
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发表时间：
2017-02
期刊：
影响因子：
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通讯作者：
Haitian Lu;Jun Zhu;Chun-Wei Wang;Donghong Wang;N. Zhao
中科院分区：
文献类型：
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作者：
Haitian Lu;Jun Zhu;Chun-Wei Wang;Donghong Wang;N. Zhao
本文提出了一种基于Riemann问题的求解可压缩和不可压缩双介质流动的方法。采用波前追踪法计算材料界面，采用修正的虚流体法定义材料界面边界条件。提出了一个在界面法线方向上构造的可压缩和不可压缩耦合黎曼问题来预测界面状态。在虚流状态下，用间断Galerkin方法求解可压缩和不可压缩流动。本文还推导了一种非均匀时间步长的不可压间断Galerkin方法。对于可压缩流中形成的激波，通过数值算例分析和讨论了前人工作中虚流方法的数值误差。结果表明，该方法能给出合理的结果，包括激波位置。
A Riemann problem based method for solving two-medium flow including compressible and incompressible regions is presented. The material interface is advanced by front tracking method and the material interface boundary conditions are defined by modified ghost fluid method. A coupled compressible and incompressible Riemann problem constructed in the normal direction of the material interface is proposed to predict the interfacial states. With the ghost fluid states, the compressible and incompressible flows are solved by discontinuous Galerkin method. An incompressible discontinuous Galerkin method with nonuniform time step is also deduced. For shock wave formed in compressible flow, the numerical errors for the ghost fluid method in earlier works are analyzed and discussed in the numerical examples. It shows that the proposed method can provide reasonable results including shock wave location.