Coupling conditions for gas networks governed by the isothermal Euler equations

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

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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

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.
- Isothermal Euler equation,
- networks,
- gas flow
Citation: Mapundi K. Banda, Michael Herty, Axel Klar. Coupling conditions for gas networks governed by the isothermal Euler equations[J]. Networks and Heterogeneous Media, 2006, 1(2): 295-314. doi: 10.3934/nhm.2006.1.295

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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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© 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)