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dc.contributor.authorLee, Hocken_US
dc.contributor.authorMatthews, Christopheren_US
dc.contributor.authorBraddock, Rogeren_US
dc.contributor.authorSander, G.en_US
dc.contributor.authorGandola, Francken_US
dc.contributor.editorA. Jakemanen_US
dc.date.accessioned2017-04-24T08:30:02Z
dc.date.available2017-04-24T08:30:02Z
dc.date.issued2004en_US
dc.date.modified2009-08-11T05:52:01Z
dc.identifier.issn1364-8152en_US
dc.identifier.doi10.1016/j.envsoft.2003.08.017en_AU
dc.identifier.urihttp://hdl.handle.net/10072/5295
dc.description.abstractMany 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.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_AU
dc.languageEnglishen_US
dc.language.isoen_AU
dc.publisherElsevieren_US
dc.publisher.placeCanberraen_US
dc.publisher.urihttp://www.sciencedirect.com/science/journal/13648152en_AU
dc.relation.ispartofpagefrom603en_US
dc.relation.ispartofpageto614en_US
dc.relation.ispartofjournalEnvironmental Modelling and Softwareen_US
dc.relation.ispartofvolume19en_US
dc.subject.fieldofresearchcode280210en_US
dc.titleA MATLAB method of lines template for transport equationsen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.facultyGriffith Sciences, Griffith School of Engineeringen_US
gro.rights.copyrightCopyright 2004 Elsevier : Reproduced in accordance with the copyright policy of the publisher : This journal is available online - use hypertext links.en_AU
gro.date.issued2004
gro.hasfulltextNo Full Text


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