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...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.展开更多
基金Financial support from the Deutsche Forschungsgemeinschaft(German Research Association)through grant GSC 111the Air Force Office of Scientific Research,Air Force Materiel Command,USAF,under grant number FA8655-08-1-3060,is gratefully acknowledged。
文摘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.
