Well-balanced scheme for gas-flow in pipeline networks
From MaRDI portal
Publication:2303649
DOI10.3934/nhm.2019026zbMath1435.35239OpenAlexW2809040793MaRDI QIDQ2303649
Yogiraj Mantri, Sebastian Noelle, Michael Herty
Publication date: 4 March 2020
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2019026
Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (4)
Well-balanced discontinuous Galerkin scheme for \(2 \times 2\) hyperbolic balance law ⋮ Numerical approximation of living-man steady state solutions for blood flow in arteries using a well-balanced discontinuous Galerkin scheme ⋮ Central schemes for networked scalar conservation laws ⋮ Hyperbolic discretization of simplified Euler equation via Riemann invariants
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical discretization of coupling conditions by high-order schemes
- A well-balanced reconstruction of wet/dry fronts for the shallow water equations
- Numerical network models and entropy principles for isothermal junction flow
- ADER schemes and high order coupling on networks of hyperbolic conservation laws
- Gas flow in pipeline networks
- Coupling conditions for gas networks governed by the isothermal Euler equations
- A well posed Riemann problem for the \(p\)-system at a junction
- Coupling conditions for the transition from supersonic to subsonic fluid states
- Operator splitting method for simulation of dynamic flows in natural gas pipeline networks
- Treating network junctions in finite volume solution of transient gas flow models
- Well-balanced central-upwind schemes for \(2\times 2\) systems of balance laws
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Flows on networks: recent results and perspectives
- On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- The isothermal Euler equations for ideal gas with source term: product solutions, flow reversal and no blow up
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- 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
- On the Cauchy Problem for the p-System at a Junction
- A new model for gas flow in pipe networks
- Optimal Control in Networks of Pipes and Canals
- On $2\times2$ Conservation Laws at a Junction
- Nonlinear programming applied to the optimum control of a gas compressor station
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Existence and Uniqueness of Solutions to the Generalized Riemann Problem for Isentropic Flow
- Coupling constants and the generalized Riemann problem for isothermal junction flow
- A New Hydrostatic Reconstruction Scheme Based on Subcell Reconstructions
- Simulation of transient gas flow at pipe‐to‐pipe intersections
- EULER SYSTEM FOR COMPRESSIBLE FLUIDS AT A JUNCTION
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems
This page was built for publication: Well-balanced scheme for gas-flow in pipeline networks
