We study centered finite difference methods of general order of accuracy \(2 p\). Boundary points are approximated by one sided operators. We give boundary operators which are stable for the linear advection equation. In cases where the approximation is unstable, we show how stability can be recover
A stable and conservative high order multi-block method for the compressible Navier–Stokes equations
✍ Scribed by Jan Nordström; Jing Gong; Edwin van der Weide; Magnus Svärd
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 987 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper presents a mesh adaptation method for higher-order (p > 1) discontinuous Galerkin (DG) discretizations of the two-dimensional, compressible Navier-Stokes equations. A key feature of this method is a cut-cell meshing technique, in which the triangles are not required to conform to the boun
A stable wall boundary procedure is derived for the discretized compressible Navier-Stokes equations. The procedure leads to an energy estimate for the linearized equations. We discretize the equations using high-order accurate finite difference summation-by-parts (SBP) operators. The boundary condi
Stokes equations. The space discretization of the inviscid terms of the Navier-Stokes equations is constructed fol-This paper deals with a high-order accurate discontinuous finite element method for the numerical solution of the compressible lowing the ideas described in the works of Cockburn et Nav