Bales et al 2009a - Revision history

Scipediacontent at 14:41, 21 January 2021

2021-01-21T14:41:23Z

Scipediacontent: Scipediacontent moved page Draft Content 438655183 to Bales et al 2009a

2020-10-14T13:38:46Z

Scipediacontent moved page Draft Content 438655183 to Bales et al 2009a

Scipediacontent: Created page with " == 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. Th..."

2020-10-14T13:38:44Z

Created page with " == 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. Th..."

New page

== 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.

Document type: Part of book or chapter of book

== Full document ==
<pdf>Media:Draft_Content_438655183-beopen829-9591-document.pdf</pdf>

== Original document ==

The different versions of the original document can be found in:

* [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]

← Older revision		Revision as of 14:41, 21 January 2021
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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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−	~~Document type: Part of book or chapter of book~~
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−	~~== Full document ==~~
−	~~<pdf>Media:Draft_Content_438655183-beopen829-9591-document.pdf</pdf>~~


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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]
		+
		+	* [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]
		+
		+	* [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]

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