On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method

On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method

Year:    2011

Communications in Computational Physics, Vol. 9 (2011), Iss. 4 : pp. 1071–1080

Abstract

In this short note we present a derivation of the Spectral Difference Scheme from a Discontinuous Galerkin (DG) discretization of a nonlinear conservation law. This allows interpretation of the Spectral Difference Scheme as a particular discretization under the quadrature-free nodal DG paradigm. Moreover, it enables identification of the key differences between the Spectral Difference Scheme and standard nodal DG schemes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.090210.040610a

Communications in Computational Physics, Vol. 9 (2011), Iss. 4 : pp. 1071–1080

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords: