A RIEMANN PROBLEM AT A JUNCTION OF OPEN CANALS

被引：11

作者：

Goudiaby, Mouhamadou Samsidy ^{[1
]}

Kreiss, Gunilla ^{[2
]}

机构：

[1] Univ Gaston Berger St Louis, Lab Anal Numer & Informat, St Louis, Senegal

[2] Uppsala Univ, Dept Informat Technol, Div Comp Sci, S-75105 Uppsala, Sweden

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2013年 / 10卷 / 03期

关键词：

Riemann problem; Saint-Venant equations; hyperbolic systems; open canal network; SHALLOW-WATER EQUATIONS; NONLINEAR HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; TRAFFIC FLOW; COUPLING CONDITIONS; GAS-DYNAMICS; NETWORKS; CONTROLLABILITY; TOPOGRAPHY;

D O I：

10.1142/S021989161350015X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a Riemann problem at a junction of a star-like network of open canals. The network is modeled as three canals and a junction where all canals come together. The flow in the network is subcritical and given by 1D Saint-Venant equations in each canal and special conditions at the junction. We consider the symmetric case where two of the canals are identical. First, we show that the linearized junction Riemann problem has always a unique solution. Second, we show that under certain condition, there is a unique solution to the nonlinear junction Riemann problem. There are also cases where there is no solution.

引用

页码：431 / 460

页数：30

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