التفاصيل البيبلوغرافية
| العنوان: |
Optimal model switching for gas flow in pipe networks. |
| المؤلفون: |
Rüffler, Fabian, Mehrmann, Volker, Hante, Falk M. |
| المصدر: |
Networks & Heterogeneous Media; Dec2018, Vol. 13 Issue 4, p641-661, 21p |
| مصطلحات موضوعية: |
GAS flow, COMBINATORICS, PARTIAL differential equations, NATURAL gas, MATHEMATICAL optimization |
| مستخلص: |
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. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
