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. 8392. ISBN 9789401790536

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Official URL: https://dx.doi.org/10.1007/9789401790543_5
Abstract
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 twogrids 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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