WIT Press


An Application Of The Numerical Green's Function Technique To Advection-diffusion Contaminant Transport In Water Supply Networks

Price

Free (open access)

Paper DOI

10.2495/HY980541

Volume

26

Pages

10

Published

1998

Size

797 kb

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