A High-Order Method for Weakly Compressible Flows
A High-Order Method for Weakly Compressible Flows
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DOI：
10.4208/cicp.oa-2017-0028
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发表时间：
2017-10
影响因子：
3.7
通讯作者：
K. Kaiser;J. Schütz
中科院分区：
文献类型：
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作者：
K. Kaiser;J. Schütz
本文引入了弱可压缩等熵欧拉方程的IMEX不连续伽辽金求解器。IMEX时间集成所需的拆分是基于最近引入的参考解拆分[32,52]，它利用了不可压缩解。我们证明了整个方法是渐近保持的。数值结果表明，该算法在对流CFL条件下性能稳定，且无阶跃退化。
In this work, we introduce an IMEX discontinuous Galerkin solver for the weakly compressible isentropic Euler equations. The splitting needed for the IMEX temporal integration is based on the recently introduced reference solution splitting [32, 52], which makes use of the incompressible solution. We show that the overall method is asymptotic preserving . Numerical results show the performance of the algorithm which is stable under a convective CFL condition and does not show any order degradation.