Gas flow in pipeline networks

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March 2006, 1(1): 41-56. doi: 10.3934/nhm.2006.1.41

Gas flow in pipeline networks

Mapundi K. Banda ^1, , Michael Herty ^2, and Axel Klar ^3,

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

Received September 2005 Revised October 2005 Published January 2006

Abstract
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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.

Keywords: networks, Isothermal Euler equation, gas flow..

Mathematics Subject Classification: Primary: 76N15; Secondary: 35Lx.

Citation: Mapundi K. Banda, Michael Herty, Axel Klar. Gas flow in pipeline networks. Networks & Heterogeneous Media, 2006, 1 (1) : 41-56. doi: 10.3934/nhm.2006.1.41

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