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Preprint-No.: <   431   >   Published in: September 2015   PDF-File: IGPM431.pdf
Title:Numerical Discretization of Coupling Conditions by High-Order Schemes
Authors:Mapundi K. Banda, Axel-Stefan Häck and Michael Herty
Abstract:
We consider numerical schemes for 2 × 2 hyperbolic conservation laws on networks coupled by possibly nonlinear coupling conditions at nodes of a network. We develop high-order finite volume discretizations including coupling conditions. 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.
Keywords:numerical methods, higher-order coupling, networks of fluid dynamics
DOI: 10.1007/s10915-016-0185-x
Publication:Journal of scientific computing 69(1)
122 - 145 (2016)
Corresponding author:Axel-Stefan Haeck, M.Sc.