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    Exact and numerical solutions for stokes flow in glaciers

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    Author
    Mitchell, William H.
    Keyword
    Glaciology
    Glaciers
    Stokes flow
    Metadata
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    URI
    http://hdl.handle.net/11122/8316
    Abstract
    We begin with an overview of the fluid mechanics governing ice flow. We review a 1985 result due to Balise and Raymond giving exact solutions for a glaciologically-relevant Stokes problem. We extend this result by giving exact formulas for the pressure and for the basal stress. This leads to a theorem giving a necessary condition on the basal velocity of a gravity-induced flow in a rectangular geometry. We describe the finite element method for solving the same problem numerically. We present a concise implementation using FEniCS, a freely-available software package, and discuss the convergence of the numerical method to the exact solution. We describe how to fix an error in a recent published model.
    Description
    Thesis (M.S.) University of Alaska Fairbanks, 2012
    Date
    2012-08
    Type
    Thesis
    Collections
    Mathematics and Statistics

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