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. © 2010 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Ekström, S. E., & Berggren, M. (2010). Incorporating a discontinuous Galerkin method into the existing vertex-centered edge-based finite volume solver edge. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 113, 39–52. https://doi.org/10.1007/978-3-642-03707-8_4
Mendeley helps you to discover research relevant for your work.