A Robust Conservative Mixed Finite Element Method for Isentropic Compressible Flow on Pipe Networks

DOI10.1137/16M1094373zbMath1394.76066arXiv1609.04988OpenAlexW2783170686MaRDI QIDQ3130406

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Publication date: 22 January 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04988

zbMATH Keywords

energy estimatesvariational methodsmixed finite elementscompressible flowimplicit time discretizationGalerkin approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Compressible fluids and gas dynamics (76Nxx)

Related Items (10)

Efficient numerical methods for gas network modeling and simulation ⋮ Fast and reliable transient simulation and continuous optimization of large-scale gas networks ⋮ On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks ⋮ On Port-Hamiltonian Approximation of a Nonlinear Flow Problem on Networks ⋮ Stability and asymptotic analysis for instationary gas transport via relative energy estimates ⋮ Central schemes for networked scalar conservation laws ⋮ Modeling and simulation of gas networks coupled to power grids ⋮ Well-balanced scheme for gas-flow in pipeline networks ⋮ Structure preserving approximation of dissipative evolution problems ⋮ Hyperbolic discretization of simplified Euler equation via Riemann invariants

Uses Software

• HE-E1GODF

Cites Work

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