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Transient flow in gas networks: Traveling waves
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Title: Transient flow in gas networks: Traveling waves

Autor:

Gugat, Martin ; Wintergerst, David

Data wydania:

2018

Typ zasobu:

artykuł

Współtwórca:

Puig, Vicenç - ed. ; Sauter, Dominique - ed. ; Aubrun, Christophe - ed. ; Schulte, Horst - ed.

Podtytuł:

.

Tytuł publikacji grupowej:

AMCS, volume 28 (2018)

Abstract:

In the context of gas transportation, analytical solutions are helpful for the understanding of the underlying dynamics governed by a system of partial differential equations. We derive traveling wave solutions for the one-dimensional isothermal Euler equations, where an affine linear compressibility factor is used to describe the correlation between density and pressure. We show that, for this compressibility factor model, traveling wave solutions blow up in finite time. We then extend our analysis to networks under appropriate coupling conditions and derive compatibility conditions for the network nodes such that the traveling waves can travel through the nodes. Our result allows us to obtain an explicit solution for a certain optimal boundary control problem for the pipeline flow.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Identyfikator zasobu:

oai:zbc.uz.zgora.pl:85841

DOI:

10.2478/amcs-2018-0025

Strony:

341-348

Źródło:

AMCS, volume 28, number 2 (2018) ; click here to follow the link

Jezyk:

eng

Licencja CC BY 4.0:

click here to follow the link

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

traveling wave isothermal Euler equations compressibility factor gas networks blow-up optimal control

Object collections:

Last modified:

14 lip 2025

In our library since:

8 lip 2025

Number of object content hits:

210

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/100833

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Edition name Date
Transient flow in gas networks: Traveling waves 14 lip 2025

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