TY - JOUR A1 - Domschke, Pia A1 - Dua, Aseem A1 - Stolwijk, Jeroen J. A1 - Lang, Jens A1 - Mehrmann, Volker T1 - Adaptive Refinement Strategies for the Simulation of Gas Flow in Networks using a Model Hierarchy N2 - 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. KW - gas supply networks KW - model hierarchy KW - error estimators KW - model adaptivity KW - refinement strategies Y1 - 2017 U6 - https://doi.org/10.1553/etna_vol48s97 VL - Electronic Transactions on Numerical Analysis IS - Vol. 48 SP - 97 EP - 113 ER -