A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws
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DOI：
10.1016/j.jcp.2017.06.046
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发表时间：
2017-10
期刊：
影响因子：
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通讯作者：
G. Fu;Chi-Wang Shu
中科院分区：
文献类型：
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作者：
G. Fu;Chi-Wang Shu
针对求解双曲型守恒律的不连续伽辽金（DG）方法，提出了一种新的故障单元指示器。该指标可以在高阶DG方法的非结构化网格上定义，并且仅依赖于来自目标单元及其近邻的数据。它能够在没有PDE敏感参数的情况下识别冲击。在欧拉方程双曲系统上进行的大量一维和二维仿真表明，这种新的故障单元指示器与龙格-库塔DG （RKDG）方法的简单最小模型TVD限制器相结合，具有良好的性能。
We introduce a new troubled-cell indicator for the discontinuous Galerkin (DG) methods for solving hyperbolic conservation laws. This indicator can be defined on unstructured meshes for high order DG methods and depends only on data from the target cell and its immediate neighbors. It is able to identify shocks without PDE sensitive parameters to tune. Extensive one- and two-dimensional simulations on the hyperbolic systems of Euler equations indicate the good performance of this new troubled-cell indicator coupled with a simple minmod-type TVD limiter for the Runge–Kutta DG (RKDG) methods.