dc.contributor.author Matthews, Christopher en_US dc.contributor.author Cook, F. en_US dc.contributor.author Knight, John en_US dc.contributor.author Braddock, Roger en_US dc.date.accessioned 2017-05-03T11:35:47Z dc.date.available 2017-05-03T11:35:47Z dc.date.issued 2005 en_US dc.date.modified 2009-08-11T05:52:08Z dc.identifier.issn 00049573 en_US dc.identifier.doi 10.1071/SR05069 en_AU dc.identifier.uri http://hdl.handle.net/10072/4428 dc.description.abstract In general, the water content (?) form of Richards' equation is not used when modeling water flow through layered soil since ? is discontinuous across soil layers. Within the literature, there have been some examples of models developed for layered soils using the ?-form of Richards' equation. However, these models usually rely on an approximation of the discontinuity at the soil layer interface. For the first time, we will develop an iterative scheme based on Newton's method, to explicitly solve for ? at the interface between 2 soils within a numerical scheme. The numerical scheme used here is the Method of Lines (MoL); however, the principles of the iterative solution could be used in other numerical techniques. It will be shown that the iterative scheme is highly effective, converging within 1 to 2 iterations. To ensure the convergence behaviour holds, the numerical scheme will be tested on a fine-over-coarse and a coarse-over-fine soil with highly contrasting soil properties. For each case, the contrast between the soil types will be controlled artificially to extend and decrease the extent of the ? discontinuity. In addition, the numerical solution will be compared against a steady-state analytical solution and a numerical solution from the literature. en_US dc.description.peerreviewed Yes en_US dc.description.publicationstatus Yes en_AU dc.language English en_US dc.language.iso en_AU dc.publisher CSIRO Publishing en_US dc.publisher.place Collingwood, Vic. en_US dc.publisher.uri http://www.publish.csiro.au/nid/84.htm en_AU dc.relation.ispartofstudentpublication N en_AU dc.relation.ispartofpagefrom 945 en_US dc.relation.ispartofpageto 955 en_US dc.relation.ispartofissue 8 en_US dc.relation.ispartofjournal Australian Journal of Soil Research en_US dc.relation.ispartofvolume 43 en_US dc.rights.retention N en_AU dc.subject.fieldofresearchcode 260599 en_US dc.title Handling the water content discontinuity at the interface between layered soils within a numerical scheme en_US dc.type Journal article en_US dc.type.description C1 - Peer Reviewed (HERDC) en_US dc.type.code C - Journal Articles en_US gro.faculty Griffith Sciences, Griffith School of Environment en_US gro.rights.copyright Copyright 2005 CSIRO. Please refer to the journal link for access to the definitive, published version. en_AU gro.date.issued 2005 gro.hasfulltext No Full Text
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