American Institute of Mathematical Sciences

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June  2006, 1(2): 295-314. doi: 10.3934/nhm.2006.1.295

Coupling conditions for gas networks governed by the isothermal Euler equations

Mapundi K. Banda 1, , Michael Herty 2, and  Axel Klar 3,

1. 

University of KwaZulu-Natal, School of Mathematical Sciences, Private Bag X01, 3209 Pietermaritzburg, South Africa
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  March 2006

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.
Keywords: gas flow., networks, Isothermal Euler equation.
Mathematics Subject Classification: Primary: 76N15; Secondary: 35Lx.
Citation: Mapundi K. Banda, Michael Herty, Axel Klar. Coupling conditions for gas networks governed by the isothermal Euler equations. Networks and Heterogeneous Media, 2006, 1 (2) : 295-314. doi: 10.3934/nhm.2006.1.295
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