Gugat M, Herty M (2020)

**Publication Language:** English

**Publication Type:** Book chapter / Article in edited volumes

**Publication year:** 2020

**Publisher:** Springer Nature

**Edited Volumes:** Mathematical Modelling, Optimization, Analytic and Numerical Solutions

**Series:** Industrial and Applied Mathematics book series (INAMA)

**City/Town:** Singapore

**Pages Range:** 147-156

**ISBN:** 978-981-15-0927-8

**DOI:** 10.1007/978-981-15-0928-5

We consider the flow of gas through networks of pipelines. A hierarchy of models for the gas

flow is available. The most accurate model is the pde system given by the 1-d Euler

equations. For large-scale optimization problems, simplifications of this model are

necessary. Here we propose a new model that is derived for high-pressure flows that are

close to stationary flows. For such flows, we can make the assumption of constant gas

velocity. Under this assumption, we obtain a model that allows transient gas flow rates.

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

**APA:**

Gugat, M., & Herty, M. (2020). A New Model for Transient Flow in Gas Transportation Networks. In Pammy Manchanda; René Pierre Lozi; Abul Hasan Siddiqi (Eds.), *Mathematical Modelling, Optimization, Analytic and Numerical Solutions.* (pp. 147-156). Singapore: Springer Nature.

**MLA:**

Gugat, Martin, and Michael Herty. "A New Model for Transient Flow in Gas Transportation Networks." *Mathematical Modelling, Optimization, Analytic and Numerical Solutions.* Ed. Pammy Manchanda; René Pierre Lozi; Abul Hasan Siddiqi, Singapore: Springer Nature, 2020. 147-156.

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