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2020 | OriginalPaper | Chapter

6. A New Model for Transient Flow in Gas Transportation Networks

Authors : Martin Gugat, Michael Herty

Published in: Mathematical Modelling, Optimization, Analytic and Numerical Solutions

Publisher: Springer Singapore

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Abstract

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 and pressures. The model is given by a pde system, but in contrast to the Euler equations, it consists of linear equations. Based upon this model, the fast computation of transient large-scale gas network states is possible.

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previous chapter Topological Analysis of a Weighted Human Behaviour Model Coupled on a Street and Place Network in the Context of Urban Terrorist Attacks
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Metadata
Title
A New Model for Transient Flow in Gas Transportation Networks
Authors
Martin Gugat
Michael Herty
Copyright Year
2020
Publisher
Springer Singapore
Book
Mathematical Modelling, Optimization, Analytic and Numerical Solutions

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

Electronic ISBN: 978-981-15-0928-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-0928-5_6

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