• search hit 84 of 89
Back to Result List

Networks of pipelines for gas with nonconstant compressibility factor: stationary states

Submission Status:epub ahead of print
  • For the management of gas transportation networks, it is essential to know how the stationary states of the system are determined by the boundary data. The isothermal Euler equations are an accurate pde-model for the gas flow through each pipe. A compressibility factor is used to model the nonlinear relationship between density and pressure that occurs in real gas in contrast to ideal gas. The gas flow through the nodes is governed by algebraic node conditions that require the conservation of mass and the continuity of the pressure. We examine networks that are described by arbitrary finite graphs and show that for suitably chosen boundary data, subsonic stationary states exist and are uniquely determined by the boundary data. Our construction of the stationary states is based upon explicit representations of the stationary states on each single pipe that can easily be evaluated numerically. We also use the monotonicity properties of these states as functions of the boundary data.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Martin Gugat, David Wintergerst, Rüdiger Schultz
DOI:https://doi.org/10.1007/s40314-016-0383-z
Parent Title (English):Computational and Applied Mathematics
Editor:Armin Iske
Document Type:Article
Language:English
Date of Publication (online):2016/09/27
Date of first Publication:2016/09/27
Release Date:2016/09/27
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Universität Duisburg-Essen
Subprojects:A05
B05
C03