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Gas flow in pipeline networks

Mapundi K. BandaTechnische Universität Kaiserslautern Fachbereich Mathematik Postfach 3049 D-67653 Kaiserslautern, GermanyMichaël HertyUniversity of KwaZulu-Natal School of Mathematical Sciences Private Bag X01 3209 Pietermaritzburg, South-AfricaAxel KlarUniversity of KwaZulu-Natal School of Mathematical Sciences Private Bag X01 3209 Pietermaritzburg, South-Africa,Technische Universität Kaiserslautern, Fachbereich Mathematik, Postfach 3049, D-67653 Kaiserslautern,Fachbereich Mathematik, Technische Universität Kaiserslautern, PO Box 3049, D-67653 Kaiserslautern
2006en
ABI

Abstract

We introduce a model for gas flow in pipeline networks based onthe isothermal Euler equations. We model the intersection of multiple pipesby posing an additional assumption on the pressure at the interface. We give amethod to obtain solutions to the gas network problem and present numericalresults for sample networks.

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Cited by 20 references