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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.

    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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  • 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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