ADAPTIVE REFINEMENT STRATEGIES FOR THE SIMULATION OF GAS FLOW IN NETWORKS USING A MODEL HIERARCHY

被引：8

作者：

Domschke, Pia ^{[1
]}

Dua, Aseem ^{[2
]}

Stolwijk, Jeroen J. ^{[2
]}

Lang, Jens ^{[1
,3
]}

Mehrmann, Volker ^{[2
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, Dolivostr 15, D-64293 Darmstadt, Germany

[2] TU Berlin, Inst Math, MA 4-5,Str 17 Juni 136, D-10623 Berlin, Germany

[3] Tech Univ Darmstadt, Grad Sch Energy Sci & Engn, Jovanka Bontschits Str 2, D-64287 Darmstadt, Germany

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2018年 / 48卷

关键词：

gas supply networks; model hierarchy; error estimators; model adaptivity; refinement strategies; MESH REFINEMENT; OPTIMIZATION; CONVERGENCE; ALGORITHM; ERRORS;

D O I：

10.1553/etna_vol48s97

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A model hierarchy that is based on the one-dimensional isothermal Euler equations of fluid dynamics is used for the simulation and optimisation of natural 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.

引用

页码：97 / 113

页数：17

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