A MATLAB method of lines template for transport equations

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Title A MATLAB method of lines template for transport equations
Author Lee, Hock Seng; Matthews, Christopher John; Braddock, Roger David; Sander, G. C.; Gandola, Franck
Journal Name Environmental Modelling and Software
Editor A. Jakeman
Year Published 2004
Place of publication Canberra
Publisher Elsevier
Abstract Many environmental problems involve diffusion and convection processes, which can be described by partial differential equations (PDEs). This paper will describe the development of a MATLAB template that generates a numerical solution to PDEs using the method of lines. The template will be applied to various unsaturated flow problems within soil physics to demonstrate the versatility of the method. In particular, the template will generate solutions for three cases (1) one-dimensional Richards' equation for vertical infiltration; (2) coupled one-dimensional Richards' equation and solute transport equation for horizontal water and contaminant flow; and (3) two-dimensional Richard's equation for unsaturated flow over a complex geometry. Where possible, the results from the template will be compared against analytical solutions to determine the accuracy of the numerical solution. In addition, the paper will provide a discussion on possible extensions to the template and future directions.
Peer Reviewed Yes
Published Yes
Publisher URI http://www.sciencedirect.com/science/journal/13648152
Alternative URI http://dx.doi.org/10.1016/j.envsoft.2003.08.017
Copyright Statement Copyright 2004 Elsevier : Reproduced in accordance with the copyright policy of the publisher : This journal is available online - use hypertext links.
Volume 19
Page from 603
Page to 614
ISSN 1364-8152
Date Accessioned 2005-01-11
Language en_AU
Faculty Faculty of Environmental Sciences
Subject PRE2009-Simulation and Modelling
URI http://hdl.handle.net/10072/5295
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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