American Institute of Mathematical Sciences

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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

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 and Heterogeneous Media, 2006, 1 (1) : 41-56. doi: 10.3934/nhm.2006.1.41
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