• myGriffith
    • Staff portal
    • Contact Us⌄
      • Future student enquiries 1800 677 728
      • Current student enquiries 1800 154 055
      • International enquiries +61 7 3735 6425
      • General enquiries 07 3735 7111
      • Online enquiries
      • Staff phonebook
    View Item 
    •   Home
    • Griffith Research Online
    • Conference outputs
    • View Item
    • Home
    • Griffith Research Online
    • Conference outputs
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

  • All of Griffith Research Online
    • Communities & Collections
    • Authors
    • By Issue Date
    • Titles
  • This Collection
    • Authors
    • By Issue Date
    • Titles
  • Statistics

  • Most Popular Items
  • Statistics by Country
  • Most Popular Authors
  • Support

  • Contact us
  • FAQs
  • Admin login

  • Login
  • Comparing two new transformations for the water content form of Richards’ Equation

    Author(s)
    Matthews, CJ
    Cook, FJ
    Braddock, RD
    Knight, JH
    Griffith University Author(s)
    Braddock, Roger D.
    Year published
    2005
    Metadata
    Show full item record
    Abstract
    This 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 ...
    View more >
    This 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.
    View less >
    Conference Title
    Proceedings of the 14th IASTED International Conference on Applied Simulation and Modelling
    Publisher URI
    http://www.actapress.com/Content_of_Proceeding.aspx?proceedingID=304
    http://www.actapress.com/Abstract.aspx?paperId=20863
    Copyright Statement
    © 2005 IASTED and ACTA Press. Use hypertext link for access to the publisher's website.
    Publication URI
    http://hdl.handle.net/10072/2738
    Collection
    • Conference outputs

    Footer

    Disclaimer

    • Privacy policy
    • Copyright matters
    • CRICOS Provider - 00233E
    • TEQSA: PRV12076

    Tagline

    • Gold Coast
    • Logan
    • Brisbane - Queensland, Australia
    First Peoples of Australia
    • Aboriginal
    • Torres Strait Islander