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Type: Conference paper
Title: A Framework for Alternative Formulations of the Pipe Network Equations
Author: Simpson, A.
Elhay, S.
Citation: World Environmental and Water Resources Congress 2009: Great Rivers Proceedings / S. Starrett (ed.): pp.1-12
Publisher: ASCE
Publisher Place: Kansas City, Missouri, USA
Issue Date: 2009
Series/Report no.: ASCE Conference Proceedings ; 342
ISBN: 9780784410363
Conference Name: World Environmental and Water Resources Congress (2009 : Kansas City, Missouri)
Statement of
Angus R. Simpson and Sylvan Elhay
Abstract: The 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.
Rights: © 2009 ASCE
DOI: 10.1061/41036(342)28
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