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the Institute for Theoretical and Engineering Science
Department of Mathematics

University of Houston



Scientific Computing Seminar



Professor Jacques Rappaz
Ecole Polytechnique Fédérale de Lausanne
Switzerland

A new algorithm to simulate the dynamics of a glacier$ ^*$


Thursday, April 17, 2008
3:00 PM- 4:00 PM
Room 634 S&R1




Abstract:

In this talk we propose a novel Eulerian algorithm to compute the changes of a glacier geometry for given mass balances. The surface of a glacier is obtained by solving a transport equation for the Volume of Fluid (VOF). The surface mass balance is taken into account by adding an interfacial term in the transport equation. An unstructured mesh with standard stabilized finite elements is used to solve the nonlinear Stokes problem. The VOF function is computed on a structured grid with high resolution. The algorithm is stable for Courant numbers larger than unity and conserves mass to high accuracy. To demonstrate the potential of the algorithm, we applied it to reconstructed late glacial states of a small valley glacier, Vadret Muragl, in the Swiss Alps, as well as the disappearance of the Rhoneā€™s Glacier.

$ ^*$ Coauthors: G. Jouvet, M. Picasso and H. Blatter. This is a joint work with the Institute for Atmospheric and Climate Science, ETHZ, Switzerland.

This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.




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Tsorng-Whay Pan 2008-03-12