Geodesic
Numerical simulation of the motion of a three-dimensional glacier
Picasso, Marco1  ; Rappaz, Jacques1  ; Reist, Adrian1
1 Institut d’analyse et calcul scientifique, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 1, pp. 1-28

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The motion of a three-dimensional glacier is considered. Ice is modeled as an incompressible non-Newtonian fluid. At each time step, given the shape of the glacier, a nonlinear elliptic system has to be solved in order to obtain the two components of the horizontal velocity field. Then, the shape of the glacier is updated by solving a transport equation. Finite element techniques are used to compute the velocity field and to solve the transport equation. Numerical results are compared to experiments on Storglaciaren (Sweden) between 1959 and 1990.

DOI : 10.5802/ambp.236
Classification : 65N30, 76M10
Keywords: glacier, ice, non-Newtonian fluid, finite elements

Picasso, Marco 1 ; Rappaz, Jacques 1 ; Reist, Adrian 1

1 Institut d’analyse et calcul scientifique, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland 
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Picasso, Marco; Rappaz, Jacques; Reist, Adrian. Numerical simulation of the motion of a three-dimensional glacier. Annales mathématiques Blaise Pascal, Tome 15 (2008) no. 1, pp. 1-28. doi: 10.5802/ambp.236

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