Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 78, Issue 13, Pages 1553-1584Publisher
WILEY-BLACKWELL
DOI: 10.1002/nme.2538
Keywords
compressible flow; finite volume method; discontinuous Galerkin method; high-resolution schemes; high-order methods; moving least-squares approximation; unstructured grids
Funding
- Ministerio de Educacion y Ciencia of the Spanish Government [DP12004-05156, DP12006-15275, DP12007-61214]
- FEDER funds [PG1DIT05PX1C118002PN, PGDIT06TAM11801PR]
- European Commission through Marie Curie Actions
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This paper presents a comparison between two high-order methods. The first one is a high-order finite volume (FV) discretization on unstructured grids that uses a meshfree method (moving least squares (MLS)) in order to construct a piecewise polynomial reconstruction and evaluate the viscous fluxes. The second method is a discontinuous Galerkin (DG) scheme. Numerical examples of inviscid and viscous flows are presented and the solutions are compared. The accuracy of both methods, for the same grid resolution, is similar, although the DG scheme requires a larger number of degrees of freedom than the FV-MLS method. Copyright (C) 2009 John Wiley & Sons, Ltd.
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