American Institute of Mathematical Sciences

Advanced
March  2007, 2(1): 81-97. doi: 10.3934/nhm.2007.2.81

Modeling, simulation and optimization of gas networks with compressors

Michael Herty 1,

1. 

Department of Mathematics, Universität Kaiserslautern, AG Technomathematik, P.O. Box 3049, D-67663 Kaiserslautern, Germany

Received  July 2006 Revised  October 2006 Published  December 2006

We consider gas flow in pipeline networks governed by the isothermal Euler equations and introduce a new modeling of compressors in gas networks. Compressor units are modeled as pipe–to–pipe intersections with additional algebraic coupling conditions for the compressor behavior. We prove existence and uniqueness of solutions with respect to these conditions and use the results for numerical simulation and optimization of gas networks.
Keywords: Gas networks, Isothermal Euler equations, optimization.
Mathematics Subject Classification: Primary: 76N15; Secondary: 35Lx.
Citation: Michael Herty. Modeling, simulation and optimization of gas networks with compressors. Networks & Heterogeneous Media, 2007, 2 (1) : 81-97. doi: 10.3934/nhm.2007.2.81
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