Networks and Heterogeneous Media (NHM)

Gas flow in pipeline networks

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

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Mapundi K. Banda - University of KwaZulu-Natal, School of Mathematical Sciences, Private Bag X01, 3209 Pietermaritzburg, South Africa (email)
Michael Herty - Technische Universit├Ąt Kaiserslautern, Fachbereich Mathematik, Postfach 3049, D-67653 Kaiserslautern, Germany (email)
Axel Klar - Fachbereich Mathematik, Technische Universit├Ąt Kaiserslautern, PO Box 3049, D-67653 Kaiserslautern, Germany (email)

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.

Keywords:  Isothermal Euler equation, networks, gas flow.
Mathematics Subject Classification:  Primary: 76N15; Secondary: 35Lxx.

Received: September 2005;      Revised: October 2005;      Available Online: January 2006.