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Multiscale modeling for gas flow in pipe networks
Author(s) -
Banda Mapundi K.,
Herty Michael
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.948
Subject(s) - isothermal process , coupling (piping) , network model , flow (mathematics) , euler equations , algebraic number , euler's formula , mathematics , pipeline transport , flow network , topology (electrical circuits) , mechanics , mathematical optimization , computer science , thermodynamics , mathematical analysis , physics , geometry , mechanical engineering , engineering , artificial intelligence , combinatorics
We consider a multiscale network of natural gas pipelines. Different arcs of the network are to be modeled by possibly different models depending on the requisite qualitative detail required: an isothermal Euler system of equations; linearized model derived from the isothermal Euler system or a steady‐state model of gas flow also referred to as an algebraic model. At the vertices (or joints) of the network coupling conditions are defined. An analysis of the well posedness of the hierarchial coupling conditions is presented. The analytical results are tested numerically on different network configurations including a real‐world network based on the Canadian mainline gas network. Copyright © 2007 John Wiley & Sons, Ltd.