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A Framework for Alternative Formulations of the Pipe Network Equations

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dc.contributor.authorSimpson, A.
dc.contributor.authorElhay, S.
dc.contributor.conferenceWorld Environmental and Water Resources Congress (2009 : Kansas City, Missouri)
dc.date.issued2009
dc.description.abstractThe aim of this paper is to revisit the formulations of the equations for flows and heads in water distribution systems and provide clarity for a logical presentation of a framework for the different formulations. Five formulations are described including 1) flow equations where the equations are formulated only in terms of the unknown flows in a network 2) head equations 3) loop flow equations 4) flow and head equations and 5) the Todini and Pilati flow and head formulation. Graph theory is used to show how many unknowns are required to be solved for in each of the five formulations. A Newton solution method is derived for the flow formulation and the Todini and Pilati formulation. © 2009 ASCE.
dc.description.statementofresponsibilityAngus R. Simpson and Sylvan Elhay
dc.identifier.citationWorld Environmental and Water Resources Congress 2009: Great Rivers Proceedings / S. Starrett (ed.): pp.1-12
dc.identifier.doi10.1061/41036(342)28
dc.identifier.isbn9780784410363
dc.identifier.orcidSimpson, A. [0000-0003-1633-0111]
dc.identifier.orcidElhay, S. [0000-0003-3440-556X]
dc.identifier.urihttp://hdl.handle.net/2440/70743
dc.language.isoen
dc.publisherASCE
dc.publisher.placeKansas City, Missouri, USA
dc.relation.ispartofseriesASCE Conference Proceedings ; 342
dc.rights© 2009 ASCE
dc.source.urihttps://doi.org/10.1061/41036(342)28
dc.titleA Framework for Alternative Formulations of the Pipe Network Equations
dc.typeConference paper
pubs.publication-statusPublished

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