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We are interested in the simulation and optimization of gas transport in networks. Different regions of the network may be modelled by different equations. There are three models based on the Euler equations that describe the gas flow in pipelines qualitatively different: a nonlinear model, a semilinear model and a stationary also called algebraic model. For the whole network, adequate initial and boundary values as well as coupling conditions at the junctions are needed. Using adjoint techniques, one can specify model error estimators for the simplified models. A strategy to adaptively apply the different models in different regions of the network while maintaining the accuracy of the solution is presented. | We are interested in the simulation and optimization of gas transport in networks. Different regions of the network may be modelled by different equations. There are three models based on the Euler equations that describe the gas flow in pipelines qualitatively different: a nonlinear model, a semilinear model and a stationary also called algebraic model. For the whole network, adequate initial and boundary values as well as coupling conditions at the junctions are needed. Using adjoint techniques, one can specify model error estimators for the simplified models. A strategy to adaptively apply the different models in different regions of the network while maintaining the accuracy of the solution is presented. | ||
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* [https://link.springer.com/content/pdf/10.1007%2F978-3-642-01970-8_33.pdf https://link.springer.com/content/pdf/10.1007%2F978-3-642-01970-8_33.pdf] | * [https://link.springer.com/content/pdf/10.1007%2F978-3-642-01970-8_33.pdf https://link.springer.com/content/pdf/10.1007%2F978-3-642-01970-8_33.pdf] | ||
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| + | * [http://link.springer.com/content/pdf/10.1007/978-3-642-01970-8_33 http://link.springer.com/content/pdf/10.1007/978-3-642-01970-8_33], | ||
| + | : [http://dx.doi.org/10.1007/978-3-642-01970-8_33 http://dx.doi.org/10.1007/978-3-642-01970-8_33] | ||
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| + | * [https://dblp.uni-trier.de/db/conf/iccS/iccS2009-1.html#BalesKL09 https://dblp.uni-trier.de/db/conf/iccS/iccS2009-1.html#BalesKL09], | ||
| + | : [https://link.springer.com/chapter/10.1007/978-3-642-01970-8_33 https://link.springer.com/chapter/10.1007/978-3-642-01970-8_33], | ||
| + | : [https://www.scipedia.com/public/Bales_et_al_2009a https://www.scipedia.com/public/Bales_et_al_2009a], | ||
| + | : [http://tubiblio.ulb.tu-darmstadt.de/106757 http://tubiblio.ulb.tu-darmstadt.de/106757], | ||
| + | : [https://rd.springer.com/chapter/10.1007/978-3-642-01970-8_33 https://rd.springer.com/chapter/10.1007/978-3-642-01970-8_33], | ||
| + | : [https://academic.microsoft.com/#/detail/1578818066 https://academic.microsoft.com/#/detail/1578818066] | ||
Latest revision as of 16:41, 21 January 2021
Abstract
We are interested in the simulation and optimization of gas transport in networks. Different regions of the network may be modelled by different equations. There are three models based on the Euler equations that describe the gas flow in pipelines qualitatively different: a nonlinear model, a semilinear model and a stationary also called algebraic model. For the whole network, adequate initial and boundary values as well as coupling conditions at the junctions are needed. Using adjoint techniques, one can specify model error estimators for the simplified models. A strategy to adaptively apply the different models in different regions of the network while maintaining the accuracy of the solution is presented.
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Published on 01/01/2009
Volume 2009, 2009
DOI: 10.1007/978-3-642-01970-8_33
Licence: CC BY-NC-SA license
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