Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy

DOI10.1553/etna_vol48s97OpenAlexW2964059469WikidataQ130020261 ScholiaQ130020261MaRDI QIDQ1744325

Pia Domschke, Aseem Dua, Jens Lang, Volker Mehrmann, Jeroen J. Stolwijk

Publication date: 23 April 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.09031

zbMATH Keywords

error estimatorsrefinement strategiesmodel hierarchymodel adaptivitygas supply networks

Mathematics Subject Classification ID

Euler equations (35Q31) Numerical methods for mathematical programming, optimization and variational techniques (65K99) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Applications to the sciences (65Z99)

Related Items (9)

Optimal Dirichlet control of partial differential equations on networks ⋮ Model and discretization error adaptivity within stationary gas transport optimization ⋮ 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 ⋮ Optimal model switching for gas flow in pipe networks ⋮ Physics informed neural networks: a case study for gas transport problems ⋮ Orthogonal expansion of network functions ⋮ Entropy-Preserving Coupling of Hierarchical Gas Models ⋮ Adaptive single- and multilevel stochastic collocation methods for uncertain gas transport in large-scale networks

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