๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

High order finite difference WENO schemes with the exact conservation property for the shallow water equations

โœ Scribed by Yulong Xing; Chi-Wang Shu


Book ID
108163962
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
879 KB
Volume
208
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


ENO and WENO Schemes with the Exact Cons
โœ Senka Vukovic; Luka Sopta ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 788 KB

In this paper we propose new finite difference numerical schemes for hyperbolic conservation law systems with geometrical source terms. In the development of the new schemes we use the essentially nonoscillatory (ENO) and weighted ENO (WENO) reconstruction, developed by Harten, Osher, Engquist, Chak

A High-Order WENO Finite Difference Sche
โœ Guang-Shan Jiang; Cheng-chin Wu ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 974 KB

We present a high-order accurate weighted essentially non-oscillatory (WENO) finite difference scheme for solving the equations of ideal magnetohydrodynamics (MHD). This scheme is a direct extension of a WENO scheme, which has been successfully applied to hydrodynamic problems. The WENO scheme follo

Conservative upwind difference schemes f
โœ P. Glaister ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 466 KB

A study of a number of current numerical schemes for the shallow water equations leads to the establishment of relationships between these schemes. Further analysis then suggests new formulations of the schemes, as well as an alternative scheme having the same key properties.

A comparison of conservative upwind diff
โœ P. Glaister ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 449 KB

Numerical results are presented and compared for four conservative upwind difference schemes for the shallow water equations when applied to a standard test problem This includes consideration of the effect of treating part of the flux balance as a source, and a comparison of square-root and arithme