期刊
APPLIED NUMERICAL MATHEMATICS
卷 56, 期 7, 页码 1001-1017出版社
ELSEVIER
DOI: 10.1016/j.apnum.2005.09.002
关键词
Saint-Venant system of shallow water equations; central-upwind schemes; central weighted essentially non-oscillatory (CWENO) schemes
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. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
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