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Transient gas pipeline flow: Analytical examples, numerical simulation and a comparison to the quasi-static approach

Submission Status:under review
  • The operation of gas pipeline flow with high pressure and small Mach numbers allows to model the flow by a semilinear hyperbolic system of partial differential equations. In this paper we present a number of transient and stationary analytical solutions of this model. They are used to discuss and clarify why a pde model is necessary to handle certain dynamic situations in the operation of gas transportation networks. We show that adequate numerical discretizations can capture the dynamical behavior sufficiently accurate. We also present examples that show that in certain cases an optimization approach that is based upon multi-period optimization of steady states does not lead to approximations that converge to the optimal state.

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Metadaten
Author:Martin Gugat, Richard Krug, Alexander Martin
DOI:https://doi.org/10.1007/s11081-021-09690-4
Document Type:Preprint
Language:English
Date of Publication (online):2021/09/02
Date of first Publication:2021/09/02
Release Date:2021/09/02
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Subprojects:A05
B07
C03
C05
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International