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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite