Numerical Discretization of Coupling Conditions by High-Order Schemes

被引：9
|
作者：
Banda, Mapundi K. [1 ]
Haeck, Axel-Stefan [2 ]
Herty, Michael [2 ]
机构：
[1] Univ Pretoria, Pretoria, South Africa
[2] Rhein Westfal TH Aachen, Aachen, Germany
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2016年 / 69卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Numerical methods; Higher-order coupling; Networks of fluid dynamics; TRAFFIC FLOW MODEL; P-SYSTEM; CONSERVATION-LAWS; 2ND-ORDER MODELS; NETWORKS; EXISTENCE; EQUATIONS;
D O I：
10.1007/s10915-016-0185-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider numerical schemes for hyperbolic conservation laws on graphs. The hyperbolic equations are given on arcs which are one-dimensional in space and are coupled at a single point, the node, by a nonlinear coupling condition. We develop high-order finite volume discretizations for the coupled problem. The reconstruction of the fluxes at the node is obtained using derivatives of the parameterized algebraic conditions imposed at the nodal points in the network. Numerical results illustrate the expected theoretical behavior.
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页码：122 / 145
页数：24
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