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Coupled thermomechanical response of an axisymmetric cold ice sheet
Author(s) -
Hutter K.,
Yakowitz S.,
Szidarovszky F.
Publication year - 1987
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr023i007p01327
Subject(s) - rotational symmetry , mechanics , geothermal gradient , nonlinear system , ice sheet , boundary value problem , boundary (topology) , materials science , geology , physics , mathematics , mathematical analysis , geophysics , quantum mechanics , geomorphology
This study proposes a detailed model for ice sheets having a radially symmetric geometry. Governing relations are derived from first principles of physics, and the interactive effects of mechanical and thermal energy are taken into account. The resulting model is a nonlinear partial differential equation relating the temperature, velocity, and stress fields. Boundary conditions of accumulation rate, geothermal flux, sliding laws, and surface temperatures having been specified, and the model determines a steady state response in terms of ice sheet profile and internal temperatures, velocities, and stresses. We describe the computational methodology for numerically determining solutions from which one can assess the credibility of the model itself, and to the extent that it is credible, examine effects such as perturbing of external temperatures, accumulation rates, and so forth. Piloting examples illustrate this.