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    Mesh design for numerical solution of Richards' Equation

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    Author
    Bao, Xuezhong
    Issue Date
    1995
    Advisor
    Yeh, Tian-Chyi Jim
    
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    Publisher
    The University of Arizona.
    Rights
    Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
    Abstract
    Richards' equation is difficult to solve numerically because water flow in the unsaturated zone is complicated by the fact that the soil's permeability depends on its water saturation. The accuracy and computational efficiency of numerical solution are affected by the form of the governing equation, the estimation of the internodal hydraulic conductivity and the time-stepping scheme. In order to save computational time and improve efficiency of numerical techniques, two classical dimensionless numbers, Peclet and Courant numbers, and their combinations, Fourier and Advective Peclet numbers, are used as the criteria for estimating the spatial and temporal increments needed for the numerical solution of the linear Richards' equation (for example expo_nential hydraulic functions) and two new dimensi_onless numbers, Modified Peclet and Courant numbers for the non-linear Richards' equation (van Genuchten's hydraulic functions). In this way, we can get numerical solutions of Richards' equation not only with no oscillation and mass conservation, but also with adequate convergency speed and accuracy. These numbers are only related to the soil-hydraulic properties and grid size.
    Type
    text
    Thesis-Reproduction (electronic)
    Degree Name
    M.S.
    Degree Level
    masters
    Degree Program
    Graduate College
    Hydrology and Water Resources
    Degree Grantor
    University of Arizona
    Collections
    Master's Theses

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