A central scheme for two coupled hyperbolic systems

Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Numerical discretization of coupling conditions by high-order schemes
On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections
Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate
A theory of $L ^{1}$-dissipative solvers for scalar conservation laws with discontinuous flux
ADER schemes and high order coupling on networks of hyperbolic conservation laws
Numerical schemes for networks of hyperbolic conservation laws
New coupling conditions for isentropic flow on networks
An implicit box scheme for subsonic compressible flow with dissipative source term
Gas flow in pipeline networks
Coupling conditions for gas networks governed by the isothermal Euler equations
Hyperbolic conservation laws with relaxation
Boundary conditions for nonlinear hyperbolic systems of conservation laws
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units
Existence of solution to supply chain models based on partial differential equation with discontinuous flux function
An explicit finite volume algorithm for vanishing viscosity solutions on a network
Flows on networks: recent results and perspectives
Coupling of compressible Euler equations
A high order approximation of hyperbolic conservation laws in networks: application to one-dimensional blood flow
Fast algorithms for the approximation of a traffic flow model on networks
Models for vehicular traffic on networks
Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
Numerical Methods for Conservation Laws With Discontinuous Coefficients
Vanishing Viscosity for Traffic on Networks
Gas Pipeline Models Revisited: Model Hierarchies, Nonisothermal Models, and Simulations of Networks
A Robust Conservative Mixed Finite Element Method for Isentropic Compressible Flow on Pipe Networks
Kinetic layers and coupling conditions for nonlinear scalar equations on networks
Closure conditions for a one temperature non-equilibrium multi-component model of baer-nunziato type
OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS
Coupling Conditions for a Class of Second-Order Models for Traffic Flow
Modeling, Simulation, and Optimization of Supply Chains
A new model for gas flow in pipe networks
The interface coupling of the gas dynamics equations
On $2\times2$ Conservation Laws at a Junction
Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition
Analysis and simulation of a new multi-component two-phase flow model with phase transitions and chemical reactions
A method of coupling non‐linear hyperbolic systems: examples in CFD and plasma physics
A relaxation scheme for conservation laws with a discontinuous coefficient
The relaxation schemes for systems of conservation laws in arbitrary space dimensions
A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
On Scalar Conservation Laws with Point Source and Discontinuous Flux Function
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations
Coupling constants and the generalized Riemann problem for isothermal junction flow
Coupling of general Lagrangian systems
The Riemann Problem for the Euler Equations with Nonconvex and Nonsmooth Equation of State: Construction of Wave Curves
EULER SYSTEM FOR COMPRESSIBLE FLUIDS AT A JUNCTION
Multiscale modelling of the circulatory system: a preliminary analysis
Central schemes for networked scalar conservation laws