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dc.contributor.authorMatthews, Christopheren_US
dc.contributor.authorJ. Cook, Freemanen_US
dc.contributor.authorBraddock, Rogeren_US
dc.contributor.authorKnight, Johnen_US
dc.contributor.editorM.H. Hamzaen_US
dc.description.abstractThis study will present two new transformations that are applied to the water content (?) form of Richard's Equation: 1) a reference soil transformation and 2) a constant "relative gradient ratio" transformation. The reference soil transformation enables a model to simulate water flow in a given soil in terms of ? for a reference soil. The main advantage of this transformation is that it provides a continuous ? profile across soil layers. However, the choice of a reference soil could also provide some numerical advantages by, for example, minimising the effect of sharp wetting fronts. An analytical expression will be derived that approximates the effect a transformation has on the gradients within a system. This approximation is based on the notion of relative gradients and will assist in analysing, which reference soils are appropriate for the problem. In addition, the analytical approximation can be used to derive general transformations for partial differential equations (PDEs). For this study, we will derive a constant "relative gradient ratio" transformation that will decrease relative gradients within the system by a constant factor (e). Using the Method of lines (MOL), numerical solutions will be generated for a test case from the literature for both transformed and non-transformed equations. By comparing these solutions, this paper will analyse whether the new transformations improve the efficiency and/or accuracy of the numerical solution for the test case problem.en_US
dc.publisherACTA Pressen_US
dc.relation.ispartofconferencename14th IASTED International Conference: Applied Simulation and Modellingen_US
dc.relation.ispartofconferencetitleProceedings of the 14th IASTED International Conference: Applied Simulation and Modellingen_US
dc.relation.ispartoflocationBenalmᤥna, Spainen_US
dc.titleComparing two new transformations for the water content form of Richards’ Equationen_US
dc.typeConference outputen_US
dc.type.descriptionE1 - Conference Publications (HERDC)en_US
dc.type.codeE - Conference Publicationsen_US
gro.facultyGriffith Sciences, Griffith School of Environmenten_US
gro.rights.copyrightCopyright 2005 IASTED and ACTA Press. Use hypertext link for access to the publisher's website.en_AU
gro.hasfulltextNo Full Text

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    Contains papers delivered by Griffith authors at national and international conferences.

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