期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 78, 期 13, 页码 1553-1584出版社
WILEY-BLACKWELL
DOI: 10.1002/nme.2538
关键词
compressible flow; finite volume method; discontinuous Galerkin method; high-resolution schemes; high-order methods; moving least-squares approximation; unstructured grids
资金
- 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
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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