Incorporating a Galerkin method into the existing vertex-centered edge-based finite volume solver edge
2010 (English)In: ADIGMA - a European initiative on the development of adaptive higher-order variational methods for aerospace applications: Results of a collaborative research project funded by the European Union, 2006-2009 / [ed] N. Kroll and H. Bieler and H. Deconinck, V. Couaillier, H. van der Ven, and K. Sørensen, Springer Berlin/Heidelberg, 2010, 39-52 p.Chapter in book (Refereed)
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.
Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2010. 39-52 p.
, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, ISSN 1612-2909 ; 113
Computer and Information Science
IdentifiersURN: urn:nbn:se:umu:diva-40328DOI: 10.1007/978-3-642-03707-8_4ISI: 000281784700004ISBN: 978-3-642-03706-1ISBN: 978-3-642-03707-8OAI: oai:DiVA.org:umu-40328DiVA: diva2:399324