CGRG Bibliography of Canadian Geomorphology
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Author : Adhikari, S.; and Marshall, S.J.
Date : 2009.
Title : Englacial stress and velocity fields: Comparison of finite-element approximations to exact solutions.
Publication : Eos Transactions AGU. 2009 Joint Assembly. The Meeting of the Americas. May 24-27, 2009. Toronto, Ontario, Canada.
Issue : 90(22), Joint Assembly Supplement.
Page(s) : Abstract H31C-05.
Abstract
The quasi-stationary motion of a two-dimensional glacier is considered. For a given transient geometry, glacier ice is treated as an incompressible non-Newtonian fluid to calculate englacial velocity and stress fields. Powerful finite-element software for multiphysical problems, Elmer, is used to solve Stokes equation by treating the stress-dependent effective viscosity in an iterative fashion. The zeroth order (so called Shallow Ice Approximation) stress field is computed and compared to the exact solution. In addition, outcomes of higher- order stress field analyses are compared to other studies such as (i) analytical solution of gravity driven flow down an inclined plane [Paterson, 1994, The physics of Glaciers (3rd ed.), p. 251-253], (ii) analytical englacial stress field [Bahr, 1996, Mathematical Geology 28 (2), p. 229-251], and (iii) analytical transfer functions for velocity field [Gudmundsson, 2003, Journal of Geophysical Research 108 (B5), 2253].
Bibliography of Canadian Geomorphology