Abstract While second order methods for computational simulations of fluid flow provide the basis of widely used commercial software,
there is a need for higher order methods for more accurate simulations of turbulent and vortex dominated flows. The discontinuous
Galerkin (DG) method is the subject of much current research toward this goal. The spectral difference (SD) method has recently
emerged as a promising alternative which can reduce the computational costs of higher order simulations. There remains some
questions, however, about the stability of the SD method. This paper presents a proof that for the case of one dimensional
linear advection the SD method is stable for all orders of accuracy in a norm of Sobolev type, provided that the interior
fluxes collocation points are placed at the zeros of the corresponding Legendre polynomial.
there is a need for higher order methods for more accurate simulations of turbulent and vortex dominated flows. The discontinuous
Galerkin (DG) method is the subject of much current research toward this goal. The spectral difference (SD) method has recently
emerged as a promising alternative which can reduce the computational costs of higher order simulations. There remains some
questions, however, about the stability of the SD method. This paper presents a proof that for the case of one dimensional
linear advection the SD method is stable for all orders of accuracy in a norm of Sobolev type, provided that the interior
fluxes collocation points are placed at the zeros of the corresponding Legendre polynomial.
- Content Type Journal Article
- DOI 10.1007/s10915-009-9339-4
- Authors
- Antony Jameson, Stanford University Department of Aeronautics and Astronautics Stanford CA 94305 USA
- Journal Journal of Scientific Computing
- Online ISSN 1573-7691
- Print ISSN 0885-7474
No hay comentarios:
Publicar un comentario
Nota: solo los miembros de este blog pueden publicar comentarios.