HR: 0800h
AN: H31C-05 [WITHDRAWN] [Abstracts]
TI: Englacial Stress and Velocity Fields: Comparison of Finite-Element Approximations to Exact Solutions
AU: * Adhikari, S
EM: adhikars@ucalgary.ca
AF: Department of Geography, University of Calgary, 2500 University Dr. NW, Calgary, AB
T2N 1N4, Canada
AU: Marshall, S J
EM: marshals@ucalgary.ca
AF: Department of Geography, University of Calgary, 2500 University Dr. NW, Calgary, AB
T2N 1N4, Canada
AB:
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].
DE: 0774 Dynamics
DE: 0776 Glaciology (1621, 1827, 1863)
DE: 0798 Modeling
SC: Hydrology [H]
MN: 2009 Joint Assembly