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arXiv · 1701.09031

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

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

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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Pia Domschke, Aseem Dua, Jeroen J. Stolwijk, Jens Lang, Volker Mehrmann. 2017-01-31. Adaptive Refinement Strategies for the Simulation of Gas Flow in Networks using a Model Hierarchy. https://arxiv.org/abs/1701.09031

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