Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant

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 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 high order WENO scheme to the Saint-Venant system of shallow water equations with transport of pollutant achieves high resolution of the location and concentration of the pollutant.