ANTI-DIFFUSIVE FINITE DIFFERENCE WENO METHODS FOR SHALLOW WATER WITH TRANSPORT OF POLLUTANT

• 来源期刊: 计算数学（英文版）
• 关键词: Anti-diffusive flux correction Sharpening contact discontinuity High order accuracy Finite difference WENO scheme Saint-Venant system of shallow water Transport of pollutant.
• 年，卷（期）: 2006,（3）
• 页码范围: 239-251
• 页数: 13页
• 语种: 英文

摘要

In this paper we further explore and apply our recent anti-diffusive flux corrected high order finite difference WENO schemes for conservation laws [18]to compute the Saint-Venant system of shallow water equations with pollutant propagation, which is described by a transport equation. The motivation is that the high order anti-diffusive WENOscheme for conservation laws produces sharp resolution of contact discontinuities while keeping high order accuracy for the approximation in the smooth region of the solution.The application of the anti-diffusive high order WENO scheme to the Saint-Venant system of shallow water equations with transport of pollutant achieves high resolution