Upwind schemes with exact conservation property for one-dimensional open channel flow equations

被引:18
作者
Vukovic, S [1 ]
Sopta, L [1 ]
机构
[1] Univ Rijeka, Rijeka 51000, Croatia
关键词
upwind schemes; source term decomposition; exact conservation property; balance laws; open channel flow;
D O I
10.1137/S1064827501392211
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we present an application and extension of the upwind schemes with source terms decomposed, developed by Bermudez, Vazquez, Hubbard, and Garcia-Navarro, to the one-dimensional open channel flow equations with general, i.e., nonprismatic and nonrectangular, geometries. Our specific numerical approximations for terms that appear in these equations and are related to the channel's geometrical properties are quite straightforward and natural, and at the same time respect the balancing of the flux gradient and the source term. As a consequence, the resulting upwind schemes have the exact conservation property. In several test problems we illustrate the achieved improvement, particularly significant for applications to natural watercourses due to their irregular riverbed geometries.
引用
收藏
页码:1630 / 1649
页数:20
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