An Application Of The Numerical Green's
Function Technique To Advection-diffusion
Contaminant Transport In Water Supply
Networks
Author(s)
V.G. Tzatchkov, F.I. Arreguin & A.A. Aldama
Abstract
The non-steady transport and decay of pollutants in drinking water distribution
networks is traditionally modeled with pure advection models. This paper
presents an eulerian-lagrangian numerical solution for the advection-diffusion
equation in water supply networks. Because of the diffusion term, the numerical
scheme produces a large linear system of equations. A technique that uses
numerically computed Green's functions and nodal mass balance considerations
is proposed to decompose this large system in three tri-diagonal systems for each
pipe and one (much smaller) system for the concentration at the pipe junctions.
In this way, the system is efficiently solved and the model can be applied
to large networks at reasonable computer cos
Keywords
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