High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models
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Publication:1674522
DOI10.1016/j.jcp.2016.10.003zbMath1373.35192arXiv1507.07772OpenAlexW939383855MaRDI QIDQ1674522
Publication date: 25 October 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.07772
ADERnetworkshyperbolic conservation lawsODEgeneralized Riemann problemcoupling conditionslumped parameter models
Hyperbolic conservation laws (35L65) First-order hyperbolic systems (35L40) Moving boundary problems for PDEs (35R37)
Related Items (7)
Finite element solution of isothermal gas flow in a network ⋮ A global mathematical model for the simulation of stenoses and bypass placement in the human arterial system ⋮ Model order reduction of hyperbolic systems focusing on district heating networks ⋮ Modelling compressors, resistors and valves in finite element simulation of gas transmission networks ⋮ A local time stepping method for thermal energy transport in district heating networks ⋮ On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws ⋮ Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints
Uses Software
Cites Work
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- Numerical network models and entropy principles for isothermal junction flow
- Mixed systems: ODEs-balance laws
- ADER schemes and high order coupling on networks of hyperbolic conservation laws
- A well posed Riemann problem for the \(p\)-system at a junction
- Upwind methods for hyperbolic conservation laws with source terms
- Adjoint-based error control for the simulation and optimization of gas and water supply networks
- Efficient implementation of weighted ENO schemes
- Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
- A high order approximation of hyperbolic conservation laws in networks: application to one-dimensional blood flow
- Solvers for the high-order Riemann problem for hyperbolic balance laws
- COUPLING TRAFFIC FLOW NETWORKS TO PEDESTRIAN MOTION
- On the coupling of systems of hyperbolic conservation laws with ordinary differential equations
- Gas Pipeline Models Revisited: Model Hierarchies, Nonisothermal Models, and Simulations of Networks
- A Network Model for Supply Chains with Multiple Policies
- On the Cauchy Problem for the p-System at a Junction
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Finite Volume Methods for Hyperbolic Problems
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Solving Ordinary Differential Equations II
- Assessment of coupling conditions in water way intersections
- Coupling constants and the generalized Riemann problem for isothermal junction flow
- Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
- Traffic Flow on a Road Network
- A hyperbolic model of chemotaxis on a network: a numerical study
- Existence of Solutions for Supply Chain Models Based on Partial Differential Equations
- Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs
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