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A new trouble-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws

Guosheng Fu Brown University Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1804.25015

Journal of Computational Physics, 347, 305-327, 2017
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.
discontinuous Galerkin method, limiters, troubled-cell indicator, high order accuracy
[ Download ] [ 2018-04-16 10:24:18 uploaded by chiwangshu ] [ 889 downloads ] [ 0 comments ] 
@inproceedings{guosheng2017a,
  title={A new trouble-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws},
  author={Guosheng Fu, and Chi-Wang Shu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180416102418780071050},
  booktitle={Journal of Computational Physics},
  volume={347},
  pages={305-327},
  year={2017},
}
Guosheng Fu, and Chi-Wang Shu. A new trouble-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. 2017. Vol. 347. In Journal of Computational Physics. pp.305-327. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180416102418780071050.
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