Modeling, Control and Numerics of Gas Networks

Submission Status:under review
  • In this article we survey recent progress on mathematical results on gas flow in pipe networks with a special focus on questions of control and stabilization. We briefly present the modeling of gas flow and coupling conditions for flow through vertices of a network. Our main focus is on gas models for spatially one-dimensional flow governed by hyperbolic balance laws. We survey results on classical solutions as well as weak solutions. We present results on well–posedness, controllability, feedback stabilization, the inclusion of uncertainty in the models and numerical methods.

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Author:Martin Gugat, Michael Herty
Document Type:Preprint
Language:English
Date of Publication (online):2020/10/05
Year of first Publication:2020
Release Date:2020/10/08
Tag:Hyperbolic Balance Laws, Stabilization, Exact Controllability, Modeling of Gas Flow, Finite-Volume Schemes, Optimal control, Uncertainty
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
RWTH Aachen University
Subprojects:C03
C05
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International