Name
Title | ||
|---|---|---|
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations |
Abstract | ||
|---|---|---|
In Zhang and Shu (2010) [20], Zhang and Shu (2011) [21] and Zhang et al. (in press) [23], we constructed uniformly high order accurate discontinuous Galerkin (DG) and finite volume schemes which preserve positivity of density and pressure for the Euler equations of compressible gas dynamics. In this paper, we present an extension of this framework to construct positivity-preserving high order essentially non-oscillatory (ENO) and weighted essentially non-oscillatory (WENO) finite difference schemes for compressible Euler equations. General equations of state and source terms are also discussed. Numerical tests of the fifth order finite difference WENO scheme are reported to demonstrate the good behavior of such schemes. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2011.11.020 | J. Comput. Physics |
Keywords | Field | DocType |
compressible gas dynamic,euler equation,finite difference scheme,finite difference weno scheme,good behavior,compressible euler equation,general equation,order finite difference weno,high order,accurate discontinuous galerkin,finite volume scheme,gas dynamics,compressible flow,numerical analysis,euler equations | Compressibility,Discontinuous Galerkin method,Mathematical analysis,Finite difference,Finite difference coefficient,Numerical analysis,Compressible flow,Finite volume method,Euler equations,Mathematics | Journal |
Volume | Issue | ISSN |
231 | 5 | 0021-9991 |
Citations | PageRank | References |
34 | 1.74 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiangxiong Zhang | 1 | 462 | 32.93 |
| Chi-Wang Shu | 2 | 4053 | 540.35 |