431 RWTH Publication No: 534423        2015        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)