A brief survey on discontinuous Galerkin methods in computational fluid dynamics

Chi-Wang Shu Brown University

Numerical Analysis and Scientific Computing mathscidoc:1610.25048

Advances in Mechanics, 43, 541-554, 2013
Discontinuous Galerkin (DG) methods combine features in finite element methods (weak formulation, finite dimensional solution and test function spaces) and in finite volume methods (numerical fluxes, nonlinear limiters) and are particularly suitable for simulating convection dominated problems, such as linear and nonlinear waves including shock waves. In this article we will give a brief survey of DG methods, emphasizing their applications in computational fluid dynamics (CFD). We will discuss essential ingredients and properties of DG methods, and will also give a few examples of recent developments of DG methods which have facilitated their applications in CFD.
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@inproceedings{chi-wang2013a,
  title={A brief survey on discontinuous Galerkin methods in computational fluid dynamics},
  author={Chi-Wang Shu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161012050811150350166},
  booktitle={Advances in Mechanics},
  volume={43},
  pages={541-554},
  year={2013},
}
Chi-Wang Shu. A brief survey on discontinuous Galerkin methods in computational fluid dynamics. 2013. Vol. 43. In Advances in Mechanics. pp.541-554. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161012050811150350166.
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