617 | RWTH Publication No: 855992 2022   |
TITLE | Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws |
AUTHORS | Niklas Kolbe |
ABSTRACT | A recently introduced scheme for networked conservation laws is analyzed in various experiments. The scheme makes use of a novel relaxation approach that governs the coupling conditions of the network and does not require a solution of the Riemann problem at the nodes. We numerically compare the dynamics of the solution obtained by the scheme to solutions obtained using a classical coupling condition. In particular, we investigate the case of two outgoing edges in the Lighthill-Whitham-Richards model of traffic flow and in the Buckley-Leverett model of two phase flow. Moreover, we numerically study the asymptotic preserving property of the scheme by comparing it to its preliminary form before the relaxation limit in a 1-to-1 network. |
KEYWORDS | |
DOI | 10.1002/pamm.202200150 |
PUBLICATION | Volume23, Issue1 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) May 2023, e202200150 |