Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
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.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws ; volume:23 ; number:1 ; year:2023 ; extent:6
Proceedings in applied mathematics and mechanics ; 23, Heft 1 (2023) (gesamt 6)
- Urheber
- DOI
-
10.1002/pamm.202200150
- URN
-
urn:nbn:de:101:1-2023060115193375703565
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 10:47 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
Ähnliche Objekte (12)
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
A networked unconstrained nonlinear MPC scheme
Clustering networked funded European research activities through rank-size laws
A distributed fault detection scheme in disturbed heterogeneous networked systems
An adaptive multiresolution discontinuous Galerkin scheme for conservation laws
New Numerical Schemes based on Relaxation Systems for Conservation Laws
A prediction based control scheme for networked systems with delays and packet dropouts
An efficient task offloading scheme in vehicular edge computing
Error Estimates For The Lax — Friedrichs Scheme For Balance Laws
Trainling-edge noise : reduction concepts and scaling laws : 15 Tabellen
Secure data sharing scheme for VANETs based on edge computing
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
A networked unconstrained nonlinear MPC scheme
Clustering networked funded European research activities through rank-size laws
A distributed fault detection scheme in disturbed heterogeneous networked systems
An adaptive multiresolution discontinuous Galerkin scheme for conservation laws
New Numerical Schemes based on Relaxation Systems for Conservation Laws
A prediction based control scheme for networked systems with delays and packet dropouts
An efficient task offloading scheme in vehicular edge computing
Error Estimates For The Lax — Friedrichs Scheme For Balance Laws
Trainling-edge noise : reduction concepts and scaling laws : 15 Tabellen
Secure data sharing scheme for VANETs based on edge computing
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
A networked unconstrained nonlinear MPC scheme
Clustering networked funded European research activities through rank-size laws
A distributed fault detection scheme in disturbed heterogeneous networked systems
An adaptive multiresolution discontinuous Galerkin scheme for conservation laws
New Numerical Schemes based on Relaxation Systems for Conservation Laws
A prediction based control scheme for networked systems with delays and packet dropouts
An efficient task offloading scheme in vehicular edge computing
Error Estimates For The Lax — Friedrichs Scheme For Balance Laws
Trainling-edge noise : reduction concepts and scaling laws : 15 Tabellen