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2006, Volume 1, Issue 2: 295-314. Doi: 10.3934/nhm.2006.1.295

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Coupling conditions for gas networks governed by the isothermal Euler equations

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: November 2005

Revised: January 2006

Published: June 2006

Abstract / Introduction Related Papers Cited by

Abstract

We investigate coupling conditions for gas transport in networks where the governing equations are the isothermal Euler equations. We discuss intersections of pipes by considering solutions to Riemann problems. We introduce additional assumptions to obtain a solution near the intersection and we present numerical results for sample networks.

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

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