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dc.contributor.authorLee, HS
dc.contributor.authorMatthews, CJ
dc.contributor.authorBraddock, RD
dc.contributor.authorSander, GC
dc.contributor.authorGandola, F
dc.contributor.editorA. Jakeman
dc.date.accessioned2017-05-03T11:35:46Z
dc.date.available2017-05-03T11:35:46Z
dc.date.issued2004
dc.date.modified2009-08-11T05:52:01Z
dc.identifier.issn1364-8152
dc.identifier.doi10.1016/j.envsoft.2003.08.017
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.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.language.isoen_AU
dc.publisherElsevier
dc.publisher.placeCanberra
dc.publisher.urihttp://www.sciencedirect.com/science/journal/13648152
dc.relation.ispartofpagefrom603
dc.relation.ispartofpageto614
dc.relation.ispartofjournalEnvironmental Modelling and Software
dc.relation.ispartofvolume19
dc.subject.fieldofresearchcode280210
dc.titleA MATLAB method of lines template for transport equations
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, Griffith School of Engineering
gro.rights.copyright© 2004 Elsevier : Reproduced in accordance with the copyright policy of the publisher : This journal is available online - use hypertext links.
gro.date.issued2004
gro.hasfulltextNo Full Text
gro.griffith.authorBraddock, Roger D.
gro.griffith.authorMatthews, Christopher J.
gro.griffith.authorGandola, Franck
gro.griffith.authorLee, Hock S.
gro.griffith.authorSander, Graham C.


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