A brief survey on discontinous Galekin methods in computational fluid dynamics

As the 6th issue of Advances in Mechanics is going to publish, i post one of the review paper in this issue to share with all of you! Hope it will be helpful to you!

Journal Tittle: Advances in Mechanics

Article Tittle: A brief survey on discontinous Galerkin methods in computational fluid dynamics

Author: Chi-Wang Shu(Brown University)

Abstract:

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.

please find the attached article.