Gas flow in pipeline networks

Mapundi K. Banda; Michael Herty; Axel Klar

doi:10.3934/nhm.2006.1.41

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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: September 2005

Revised: October 2005

Published: March 2006

Abstract / Introduction Related Papers Cited by

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

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