Numerical discretization of coupling conditions by high-order schemes
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Date
Authors
Banda, M.K. (Mapundi)
Hack, A.S.
Herty, M.
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
We consider numerical schemes for 2 2 hyperbolic conservation laws on
graphs. The hyperbolic equations are given on the spatially one{dimensional arcs and
are coupled at a single point, the node, by a nonlinear coupling condition. We develop
high-order nite volume discretizations for the coupled problem. The reconstruction
of the
uxes 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.
Description
Keywords
Numerical methods, Higher-order coupling, Networks of fluid dynamics
Sustainable Development Goals
Citation
Banda, M.K., Häck, AS. & Herty, M. Numerical discretization of coupling conditions by high-order schemes. Journal of Scientific Computing (2016) 69: 122-145. doi:10.1007/s10915-016-0185-x.