Handling the water content discontinuity at the interface between layered soils within a numerical scheme

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Title Handling the water content discontinuity at the interface between layered soils within a numerical scheme
Author Matthews, Christopher John; Cook, F.J.; Knight, John Howard; Braddock, Roger David
Publication Title SuperSoil 2004: Proceedings of the 3rd Australian New Zealand Soils Conference
Editor Dr Balwant Singh
Year Published 2004
Place of publication Gosford, Australia
Publisher The Regional Institute Ltd
Abstract In general, the water content (¸) form of Richards' Equation is not used when modelling water flow through layered soil since ¸ is discontinuous at soil layers. Within the literature, there have been 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, this paper will develop an iterative solution based on Newton's Method to explicitly solve for ¸ at the interface between two soils within a numerical scheme. The numerical scheme used within this paper is the Method of Lines, however, the principles of the iterative solution could be used in other numerical techniques. The paper will show that the iterative scheme is highly efficient converging mostly within 2 iterations. The iterative solution will be tested on two main test cases 1) fine over coarse soil, 2) a coarse over fine soil to ensure that the convergence behaviour holds. A test case from the literature is also considered to ensure the accuracy of the solution.
Peer Reviewed Yes
Published Yes
Publisher URI http://www.regional.org.au/au/asssi/supersoil2004/s15/oral/1791_matthewsc.htm#TopOfPage
Alternative URI http://www.regional.org.au/au/asssi/supersoil2004/
Copyright Statement Copyright remains with the authors 2004 Griffith University. This is the author-manuscript version of the paper. It is posted here with permission of the copyright owners for your personal use only. No further distributions permitted. The Regional Institute Ltd retains the non-exclusive right to publish the proceedings from the SuperSoil 2004, the 3rd Australian New Zealand Soils Conference in electronic format in perpetuity. Reproduction and the making available of this material for personal or non-commercial purposes is authorised, on condition that: attribution is given to the copyright owner; no official connection is claimed; the material is made available without charge or at cost; and the material is not subject to inaccurate, misleading or derogatory treatment.
ISBN 192084225X
Conference name SuperSoil 2004: 3rd Australian New Zealand Soils Conference
Location University of Sydney
Date From 2004-12-05
Date To 2004-12-09
URI http://hdl.handle.net/10072/2223
Date Accessioned 2005-01-11
Language en_AU
Faculty Faculty of Environmental Sciences
Subject Simulation and Modelling
Publication Type Conference Publications (Full Written Paper - Refereed)
Publication Type Code e1

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