Modeling, control, and numerics of gas networks

Gugat M, Herty M (2022)

Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2022

Publisher: Elsevier

Edited Volumes: Handbook of Numerical Analysis

Series: Handbook of Numerical Analysis

DOI: 10.1016/bs.hna.2021.12.002

Abstract

In this chapter 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.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE)

How to cite

APA:

Gugat, M., & Herty, M. (2022). Modeling, control, and numerics of gas networks. In E. Trelat, E. Zuazua (Eds.), Handbook of Numerical Analysis. Elsevier.

MLA:

Gugat, Martin, and Michael Herty. "Modeling, control, and numerics of gas networks." Handbook of Numerical Analysis. Ed. E. Trelat, E. Zuazua, Elsevier, 2022.

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