摘要
We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom topography.The designed first-and secondorder schemes are tested on a number of numerical examples,in which we verify the well-balanced property as well as the ability of the proposed schemes to accurately capture small perturbations of moving-water steady states.
基金
NSFC grant(No.11771201)
by the fund of the Guangdong Provincial Key Laboratory of Computational Science and Material Design(No.2019B030301001)。
