Repository: Freie Universität Berlin, Math Department

Numerical analysis and simulation of the dynamics of mountain glaciers

Jouvet, G. and Rappaz, J. (2014) Numerical analysis and simulation of the dynamics of mountain glaciers. In: Modeling, Simulation and Optimization for Science and Technology. Computational Methods in Applied Sciences (34). Springer Netherlands, pp. 83-92. ISBN 978-94-017-9053-6


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In this chapter, we analyze and approximate a nonlinear stationary Stokes problem that describes the motion of glacier ice. The existence and uniqueness of solutions are proved and an a priori error estimate for the finite element approximation is found. In a second time, we combine the Stokes problem with a transport equation for the volume fraction of ice, which describes the time evolution of a glacier. The accumulation due to snow precipitation and melting are accounted for in the source term of the transport equation. A decoupling algorithm allows the diffusion and the advection problems to be solved using a two-grids method. As an illustration, we simulate the evolution of Aletsch glacier, Switzerland, over the 21st century by using realistic climatic conditions.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1863
Deposited By: Ekaterina Engel
Deposited On:13 Apr 2016 08:34
Last Modified:03 Mar 2017 14:42

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