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Adaptive Refinement Strategies for the Simulation of Gas Flow in Networks using a Model Hierarchy

  • A model hierarchy that is based on the one-dimensional isothermal Euler equations of fluid dynamics is used for the simulation and optimisation of gas flow through a pipeline network. Adaptive refinement strategies have the aim of bringing the simulation error below a prescribed tolerance while keeping the computational costs low. While spatial and temporal stepsize adaptivity is well studied in the literature, model adaptivity is a new field of research. The problem of finding an optimal refinement strategy that combines these three types of adaptivity is a generalisation of the unbounded knapsack problem. A refinement strategy that is currently used in gas flow simulation software is compared to two novel greedy-like strategies. Both a theoretical experiment and a realistic gas flow simulation show that the novel strategies significantly outperform the current refinement strategy with respect to the computational cost incurred.

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Author:Pia Domschke, Aseem Dua, Jeroen J. Stolwijk, Jens Lang, Volker Mehrmann
DOI:https://doi.org/10.1553/etna_vol48s97
Document Type:Article
Language:English
Date of Publication (online):2017/01/02
Date of first Publication:2017/02/01
Release Date:2017/02/01
Tag:error estimators; gas supply networks; model adaptivity; model hierarchy; refinement strategies
Volume:Electronic Transactions on Numerical Analysis
Issue:Vol. 48
Page Number:21
First Page:97
Last Page:113
Institutes:Technische Universität Darmstadt
Technische Universität Berlin
Subprojects:B01
B03