کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646385 | 1342119 | 2006 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: CWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equations CWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equations](/preview/png/4646385.png)
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.
Journal: Applied Numerical Mathematics - Volume 56, Issue 7, July 2006, Pages 1001-1017