A new model for gas flow in pipe networks

M. Herty; J. Möhring; V. Sachers

doi:10.1002/mma.1197

journal article Apr 12, 2010

A new model for gas flow in pipe networks

M. Herty J. Möhring V. Sachers

Mathematical Methods in the Applied Sciences Vol. 33 No. 7 pp. 845-855 · Wiley

View at Publisher Save 10.1002/mma.1197

Abstract

AbstractWe introduce a new model for gas dynamics in pipe networks by asymptotic analysis. The model is derived from the isothermal Euler equations. We present the derivation of the model as well as numerical results illustrating the validity and its properties. We compare the new model with existing models from the mathematical and engineering literature. We further give numerical results on a sample network. Copyright © 2009 John Wiley & Sons, Ltd.

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References

33

[1]

10.3934/nhm.2006.1.295

[2]

10.3934/nhm.2006.1.495

[3]

10.1090/conm/426/08189

[4]

EhrhardtK SteinbachMC.KKT systems in operative planning for gas distribution networks. ZIB Report 04‐21 2004.

[5]

Martin A "Mixed Integer models for the stationary case of gas network optimization" Mathematical Programming (2005)

[6]

Osiadacz AJ (1989)

[7]

10.1002/fld.1650040103

[8]

OsiadaczA ChaczykowskiM.Comparison of isothermal and non–isothermal transient models. Technical Report Warsaw University of Technology 1998.

[9]

SteinbachM.On PDE solution in transient optimization of gas networks. Technical Report ZR‐04‐46 ZIB Berlin 2004.

[10]

Pipeline Simulation Interest Group. Available from:www.psig.org.

[11]

White FM (2002)

[12]

Colombo RM "Euler System for compressible fluids at a junction" Journal of Hyperbolic Differential Equations

[13]

10.3934/nhm.2007.2.81

[14]

OsiadaczAJ.Dynamic optimization of high pressure gas networks using hierarchical systems theory. Technical Report Warsaw University of Technology 2002.

[15]

10.3934/nhm.2007.2.733

[16]

CameronI.Using an excel‐based model for steady‐state and transient simulation. Technical Report TransCanada Transmission Company 2000.

[17]

Herty M "Simulation of transient gas flow at pipe‐to‐pipe intersections" International Journal for Numerical Methods in Fluids (2007)

[18]

10.2118/4004-pa

[19]

10.1115/1.3425438

[20]

ZhouJ AdewumiMA.Simulation of transient flow in natural gas pipelines. Twenty‐Seventh Annual Meeting of PSIG (Pipeline Simulation Interest Group) Albuquerque New Mexico 1995.

[21]

10.1002/(sici)1097-0363(20000229)32:4<407::aid-fld945>3.0.co;2-9

[22]

Ehrhardt K (2005)

[23]

An Explicit Equation for Friction Factor in Pipe

Ning Hsing Chen

Industrial & Engineering Chemistry Fundamental... 10.1021/i160071a019

[24]

Králink J "Modelle für die Dynamik von Rohrleitungsnetzen—theoretischer Hintergrund" Gas‐Wasser‐Abwasser (1984)

[25]

SIMONE Research Group s.r.o. Available from:www.simone.eu.

[26]

10.1515/156939505774286102

[27]

10.1006/jcph.1995.1196

[28]

10.1002/cpa.3160480303

[29]

10.1137/070690298

[30]

10.3934/nhm.2006.1.41

[31]

ColomboRM GuerraG HertyM SachersV.Modeling and optimal control of networks and canals. Preprint 2008.

[32]

ColomboRM GaravelloM.On the Cauchy problem for thep‐system at a junction. Preprint 2006.

[33]

10.1201/9781420038224

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Citations

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References

Details

Published: Apr 12, 2010
Vol/Issue: 33(7)
Pages: 845-855
License: View

Authors

Funding

DAAD Award: D/06/28176

DFG SPP Award: 1253

Seed Funds Award: HE5386/6-1

Cite This Article

M. Herty, J. Möhring, V. Sachers (2010). A new model for gas flow in pipe networks. Mathematical Methods in the Applied Sciences, 33(7), 845-855. https://doi.org/10.1002/mma.1197

A new model for gas flow in pipe networks

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