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RISJacobian Matrix for Solving Water Distribution System Equations with the Darcy-Weisbach Head-Loss Model
Publisher: American Society of Civil Engineers
Abstract: The widely used Todini and Pilati method for solving the equations that model water distribution systems was originally developed for pipes in which the head loss is modeled by the Hazen-Williams formula. The friction ...
Closure to “Dealing with Zero Flows in Solving the Nonlinear Equations for Water Distribution Systems” by Sylvan Elhay and Angus R. Simpson
Publisher: American Society of Civil Engineers
Closure to “Jacobian Matrix for Solving Water Distribution System Equations with the Darcy-Weisbach Head-Loss Model” by Angus Simpson and Sylvan Elhay
Publisher: American Society of Civil Engineers
Dealing with Zero Flows in Solving the Nonlinear Equations for Water Distribution Systems
Publisher: American Society of Civil Engineers
Abstract: Three issues concerning the iterative solution of the nonlinear equations governing the flows and heads in a water distribution system network are considered. Zero flows cause a computation failure (division by zero) when ...
Erratum for “Jacobian Matrix for Solving Water Distribution System Equations with the Darcy-Weisbach Head-Loss Model” by Angus Simpson and Sylvan Elhay
Publisher: American Society of Civil Engineers
Forest-Core Partitioning Algorithm for Speeding Up Analysis of Water Distribution Systems
Publisher: American Society of Civil Engineers
Abstract: Commonly, water distribution networks have many treed or branched subgraphs. The equations for these systems are often solved for the steady-state flows and heads with a fast implementation of Newton’s method such as the ...
A Robust, Rapidly Convergent Method That Solves the Water Distribution Equations for Pressure-Dependent Models
Publisher: American Society of Civil Engineers
Abstract: In the past, pressure-dependent models (PDMs) have suffered from convergence difficulties. In this paper conditions are established for the existence and uniqueness of solutions to the PDM problem posed as two optimization ...
Local Sensitivity of Pressure-Driven Modeling and Demand-Driven Modeling Steady-State Solutions to Variations in Parameters
Publisher: American Society of Civil Engineers
Erratum for “Local Sensitivity of Pressure-Driven Modeling and Demand-Driven Modeling Steady-State Solutions to Variations in Parameters”
Publisher: American Society of Civil Engineers
A Content-Based Active-Set Method for Pressure-Dependent Models of Water Distribution Systems with Flow Controls
Publisher: ASCE
Abstract: In this paper a new method is proposed that solves for the steady state of pressure-dependent models (PDMs) with flow control valves. Rather than model flow devices individually, the method solves the more general problem ...