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Finite Time Blow-up of Traveling Wave Solutions for the Flow of Real Gas through Pipeline Networks

  • In the context of gas transportation, analytical solutions are essential for the understanding of the underlying dynamics described by a system of partial differential equations. We derive traveling wave solutions for the 1-d isothermal Euler equations. A non-constant compressibility factor is used to describe the correlation between density and pressure. The blow-up of the traveling wave solution in � finite time is proven. We then extend our analysis to networks under appropriate coupling conditions and derive compatibility conditions to fulfill these coupling conditions.

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  • Finite Time Blow-up of Traveling Wave Solutions for the Flow of Real Gas through Pipeline Networks ISO 1 Model with AGA compressibility factor

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Metadaten
Author:David Wintergerst, Martin Gugat
Document Type:Preprint
Language:English
Date of Publication (online):2016/07/06
Date of first Publication:2016/06/08
Release Date:2016/06/08
Tag:finite time blow-up; isothermal Euler equations; networks; real gas; traveling waves
Page Number:12
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Subprojects:C03