Abstract The discontinuous Galerkin (DG) method can be viewed as a generalization to higher orders of the finite volume method. At lowest order, the standard DG method reduces to the cell-centered finite volume method.We introduce for the Euler equations an alternative DG formulation that reduces to the vertex-centered version of the finite volume method at lowest order. The method has been successfully implemented for the Euler equations in two space dimensions, allowing a local polynomial order up to p=3 and supporting curved elements at the airfoil boundary. The implementation has been done as an extension within the existing edge-based vertex-centered finite-volume code Edge.
Incorporating a Discontinuous Galerkin Method into the Existing Vertex-Centered Edge-Based Finite Volume Solver Edge
2010-01-01
14 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Euler Equation , Control Volume , Discontinuous Galerkin , Discontinuous Galerkin Method , Dual Cell Engineering , Engineering Fluid Dynamics , Astronomy, Astrophysics and Cosmology , Classical Continuum Physics , Aerospace Technology and Astronautics , Appl.Mathematics/Computational Methods of Engineering , Numerical and Computational Physics
Agglomeration Multigrid for the Vertex-Centered Dual Discontinuous Galerkin Method
Springer Verlag | 2010
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