The foundations of a new discontinuous Galerkin method for simulating compressible viscous flows with shocks on standard unstructured grids are presented in this paper. The new method is based on a discontinuous Galerkin formulation both for the advective and the diffusive contributions. High-order
Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier–Stokes equations
✍ Scribed by R. Hartmann
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 1004 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.1134
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📜 SIMILAR VOLUMES
## Abstract An interior penalty method and a compact discontinuous Galerkin method are proposed and compared for the solution of the steady incompressible Navier–Stokes equations. Both compact formulations can be easily applied using high‐order piecewise divergence‐free approximations, leading to t
In this paper a recently developed approach for the design of adaptive discontinuous Galerkin finite element methods is applied to physically relevant problems arising in inviscid compressible fluid flows governed by the Euler equations of gas dynamics. In particular, we employ (weighted) type I a p