Modeling flow through a one-dimensional multi-layered soil profile using the Method of Lines

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Title Modeling flow through a one-dimensional multi-layered soil profile using the Method of Lines
Author Matthews, Christopher John; Braddock, Roger David; Sander, G. C.
Journal Name Environmental Modeling and Assessment
Editor Jerzy A Filar
Year Published 2004
Place of publication Netherlands
Publisher Kluwer Academic Publishers
Abstract The vertical flow of water through horizontal layers of soil is considered using the Method of Lines. Continuity of mass principles are used to develop the interface boundary conditions, by introducing fictitious points at the interface, and the boundary conditions are handled using explicit and iterative approximations. Both the pressure based, and the water content based forms of Richards' equation are solved using the Method of Lines. The solutions obtained are compared with some particular analytic solutions obtained from the literature, and the results show that good accuracy can be achieved. It is also shown that the water content model can handle a large discontinuity at the interface when compared against the analytical solution. This result is also confirmed against a numerical example from the literature, and was effective for relatively dry initial conditions.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1023/B:ENMO.0000032092.10546.c6
Volume 9
Page from 103
Page to 113
ISSN 1420-2026
Date Accessioned 2005-01-11
Date Available 2010-08-09T07:17:58Z
Language en_AU
Research Centre Atmospheric Environment Research Centre
Faculty Faculty of Environmental Sciences
Subject PRE2009-Numerical Analysis
URI http://hdl.handle.net/10072/5293
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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