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Stationary States in Gas Networks

  • Pipeline networks for gas transportation often contain circles. For such networks it is more difficult to determine the stationary states than for networks without circles. We present a method that allows to compute the stationary states for subsonic pipe flow governed by the isothermal Euler equations for certain pipeline networks that contain circles. We also show that suitably chosen boundary data determine the stationary states uniquely. The construction is based upon novel explicit representations of the stationary states on single pipes for the cases with zero slope and with nonzero slope. In the case with zero slope, the state can be represented using the Lambert-W function.

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Metadaten
Author:Martin Gugat, Günter Leugering, Falk Hante
DOI:https://doi.org/doi:10.3934/nhm.2015.10.295
Parent Title (English):Networks and Heterogeneous Media
Editor:Benedetto Piccoli
Document Type:Article
Language:English
Date of Publication (online):2016/09/16
Date of first Publication:2016/09/16
Release Date:2016/09/16
Tag:Network
Volume:10
Issue:2
First Page:295
Last Page:320
Subprojects:A03
A05
C03