Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics
✍ Scribed by François Vilar; Pierre-Henri Maire; Rémi Abgrall
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 552 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0045-7930
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✦ Synopsis
We present cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and also for the one-dimensional Lagrangian hydrodynamics up to thirdorder. We also demonstrate that a proper choice of the numerical fluxes allows to enforce stability properties of our discretizations.
📜 SIMILAR VOLUMES
The framework for constructing a high-order, conservative spectral (finite) volume (SV) method is presented for two-dimensional scalar hyperbolic conservation laws on unstructured triangular grids. Each triangular grid cell forms a spectral volume (SV), and the SV is further subdivided into polygona