Optimal Model Switching for Gas Flow in Pipe Networks
- We consider model adaptivity for gas flow in pipeline networks. For each instant in time and for each pipe in the network a model for the gas flow is to be selected from a hierarchy of models in order to maximize a performance index that balances model accuracy and computational cost for a simulation of the entire network. This combinatorial problem involving partial differential equations is posed as an optimal switching control problem for abstract semilinear evolutions. We provide a theoretical and numerical framework for solving this problem using a two stage gradient descent approach based on switching time and mode insertion gradients. A numerical study demonstrates the practicability of the approach.
Author: | Fabian Rüffler, Volker Mehrmann, Falk Hante |
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Document Type: | Article |
Language: | English |
Date of Publication (online): | 2018/01/23 |
Date of first Publication: | 2018/01/29 |
Release Date: | 2018/01/29 |
Subprojects: | A03 |
B03 |