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
A discontinuous Galerkin method/HLLC solver for the Euler equations
✍ Scribed by Malika Remaki; Wagdi G. Habashi
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 459 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.625
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📜 SIMILAR VOLUMES
We prove the convergence of a discontinuous Galerkin method approximating the 2-D incompressible Euler equations with discontinuous initial vorticity: ω 0 ∈ L 2 (Ω). Furthermore, when ω 0 ∈ L ∞ (Ω), the whole sequence is shown to be strongly convergent. This is the first convergence result in numeri
## 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