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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.


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Spectral (Finite) Volume Method for Cons
✍ Z.J. Wang; Yen Liu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 536 KB

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