Networks and Heterogeneous Media

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Networks and Heterogeneous Media

2006, Volume 1, Issue 1: 41-56. doi: 10.3934/nhm.2006.1.41

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Gas flow in pipeline networks

1.
University of KwaZulu-Natal, School of Mathematical Sciences, Private Bag X01, 3209 Pietermaritzburg
2.
Technische Universität Kaiserslautern, Fachbereich Mathematik, Postfach 3049, D-67653 Kaiserslautern
3.
Fachbereich Mathematik, Technische Universität Kaiserslautern, PO Box 3049, D-67653 Kaiserslautern

Received: 01 September 2005 Revised: 01 October 2005
Primary: 76N15; Secondary: 35Lxx.

We introduce a model for gas flow in pipeline networks based on the isothermal Euler equations. We model the intersection of multiple pipes by posing an additional assumption on the pressure at the interface. We give a method to obtain solutions to the gas network problem and present numerical results for sample networks.
- Isothermal Euler equation,
- networks,
- gas flow
Citation: Mapundi K. Banda, Michael Herty, Axel Klar. Gas flow in pipeline networks[J]. Networks and Heterogeneous Media, 2006, 1(1): 41-56. doi: 10.3934/nhm.2006.1.41

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Abstract

We introduce a model for gas flow in pipeline networks based on the isothermal Euler equations. We model the intersection of multiple pipes by posing an additional assumption on the pressure at the interface. We give a method to obtain solutions to the gas network problem and present numerical results for sample networks.
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© 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)

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沈阳化工大学材料科学与工程学院沈阳 110142

Networks and Heterogeneous Media

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