Numerical schemes for coupled systems of nonconservative hyperbolic equations
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Publication:6622682
DOI10.1137/23m1615176MaRDI QIDQ6622682
Siegfried Müller, Niklas Kolbe, Michael Herty
Publication date: 22 October 2024
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
finite volume methodhyperbolic systemcoupling conditionRiemann solversnonconservative productsrelaxation system
Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical analysis (65-XX) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
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- A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
- Gas flow in pipeline networks
- Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- A comment on the computation of non-conservative products
- Hyperbolic conservation laws with relaxation
- Boundary conditions for nonlinear hyperbolic systems of conservation laws
- On parallel computation of blood flow in human arterial network based on 1-D modelling
- One-dimensional models for blood flow in arteries
- Definition and weak stability of nonconservative products
- Flows on networks: recent results and perspectives
- Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
- Conservation laws with discontinuous flux: a short introduction
- Adjoint-based derivative computations for the optimal control of discontinuous solutions of hyperbolic conservation laws
- AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
- An Anatomically Based Model of Transient Coronary Blood Flow in the Heart
- A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport
- Julia: A Fresh Approach to Numerical Computing
- Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
- Kinetic layers and coupling conditions for nonlinear scalar equations on networks
- Coupling Conditions for a Class of Second-Order Models for Traffic Flow
- WELL-BALANCED NUMERICAL SCHEMES BASED ON A GENERALIZED HYDROSTATIC RECONSTRUCTION TECHNIQUE
- Two-Layer Shallow Water System: A Relaxation Approach
- On $2\times2$ Conservation Laws at a Junction
- Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
- One-dimensional transport equations with discontinuous coefficients
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- Representation of Weak Limits and Definition of Nonconservative Products
- Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Numerical Approximation of Hyperbolic Systems of Conservation Laws
- Path-conservative central-upwind schemes for nonconservative hyperbolic systems
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- Traffic Flow on a Road Network Using the Aw–Rascle Model
- On the properties of discrete adjoints of numerical methods for the advection equation
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- Hyperbolic Conservation Laws in Continuum Physics
- Front tracking for hyperbolic conservation laws
- Central schemes for networked scalar conservation laws
- A central scheme for two coupled hyperbolic systems
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