Coupling of general Lagrangian systems

DOI10.1090/S0025-5718-07-02064-9zbMath1149.35380OpenAlexW1988550882MaRDI QIDQ5444311

Annalisa Ambroso, Nicolas Seguin, Frédéric Lagoutière, Pierre-Arnaud Raviart, Frédéric Coquel, Edwige Godlewski, Christophe Chalons

Publication date: 25 February 2008

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-07-02064-9

zbMATH Keywords

finite volume methodsRiemann problemsfixed interfacecoupling of two fluid modelstwo Euler systems in Lagrangian coordinates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

RELAXATION OF FLUID SYSTEMS, The resonance behavior for the coupling of two Aw-Rascle traffic models, Unnamed Item, A method to couple HEM and HRM two-phase flow models, Some recent numerical advances for two‐phase flow modelling in NEPTUNE project, EXISTENCE RESULT FOR THE COUPLING PROBLEM OF TWO SCALAR CONSERVATION LAWS WITH RIEMANN INITIAL DATA, Modelling the transition between fixed and mobile bed conditions in two-phase free-surface flows: the composite Riemann problem and its numerical solution, A two-fluid hyperbolic model in a porous medium, The interface coupling of the gas dynamics equations, Choice of measure source terms in interface coupling for a model problem in gas dynamics, Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi-component laws, Coupling constants and the generalized Riemann problem for isothermal junction flow, Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation, NUMERICAL COUPLING OF TWO SCALAR CONSERVATION LAWS BY A RKDG METHOD

Cites Work

• Unnamed Item
• Boundary conditions for nonlinear hyperbolic systems of conservation laws
• The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
• Numerical approximation of hyperbolic systems of conservation laws
• Study of limit conditions for a strictly hyperbolic system via parabolic approximation
• The interface coupling of the gas dynamics equations
• The Riemann Problem in Gas Dynamics
• Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov
• Extension of Interface Coupling to General Lagrangian Systems
• Relaxation methods and coupling procedures
• The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems
• Computations of compressible multifluids.
• Lagrangian systems of conservation laws. Invariance properties of Lagrangian systems of conservation laws, approximate Riemann solvers and the entropy condition