Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646385 | Applied Numerical Mathematics | 2006 | 17 Pages |
Simple central-upwind schemes based on central weighted essentially non-oscillatory reconstructions are proposed in this paper for computing the approximate solutions of one- and two-dimensional Saint-Venant system of shallow water equations with high-resolution. Since the nonuniform width of the different local Riemann fans is calculated more accurately, the central-upwind schemes enjoy a much smaller numerical viscosity and the staggering between two neighboring sets of grids is avoided. Since the central-upwind schemes are combined with fourth-order central weighted essentially non-oscillatory reconstructions, the hereafter called CWENO-type central-upwind schemes have non-oscillatory behavior. The numerical results show the desired accuracy and high-resolution of our methods.