Numerical simulation of the motion of a three-dimensional glacier

Marco Picasso[1]; Jacques Rappaz[1]; Adrian Reist[1]

  • [1] Institut d’analyse et calcul scientifique, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland

Annales mathématiques Blaise Pascal (2008)

  • Volume: 15, Issue: 1, page 1-28
  • ISSN: 1259-1734

Abstract

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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.

How to cite

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Picasso, Marco, Rappaz, Jacques, and Reist, Adrian. "Numerical simulation of the motion of a three-dimensional glacier." Annales mathématiques Blaise Pascal 15.1 (2008): 1-28. <http://eudml.org/doc/10550>.

@article{Picasso2008,
abstract = {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.},
affiliation = {Institut d’analyse et calcul scientifique, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland; Institut d’analyse et calcul scientifique, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland; Institut d’analyse et calcul scientifique, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland},
author = {Picasso, Marco, Rappaz, Jacques, Reist, Adrian},
journal = {Annales mathématiques Blaise Pascal},
keywords = {glacier; ice; non-Newtonian fluid; finite elements; transport equation},
language = {eng},
month = {1},
number = {1},
pages = {1-28},
publisher = {Annales mathématiques Blaise Pascal},
title = {Numerical simulation of the motion of a three-dimensional glacier},
url = {http://eudml.org/doc/10550},
volume = {15},
year = {2008},
}

TY - JOUR
AU - Picasso, Marco
AU - Rappaz, Jacques
AU - Reist, Adrian
TI - Numerical simulation of the motion of a three-dimensional glacier
JO - Annales mathématiques Blaise Pascal
DA - 2008/1//
PB - Annales mathématiques Blaise Pascal
VL - 15
IS - 1
SP - 1
EP - 28
AB - 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.
LA - eng
KW - glacier; ice; non-Newtonian fluid; finite elements; transport equation
UR - http://eudml.org/doc/10550
ER -

References

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