Picasso, M.Rappaz, J.Reist, A.Funk, M.Blatter, H.2006-08-242006-08-242006-08-24200410.1002/nme.997https://infoscience.epfl.ch/handle/20.500.14299/233737WOS:0002218039000065271The motion of a two-dimensional glacier is considered. At each time step, given the shape of the glacier, ice is modelled as an incompressible non-Newtonian fluid and a non-linear elliptic problem has to be solved to obtain the horizontal velocity field. Then, the upper surface of the glacier is updated by solving a transport equation. Finite element techniques are used to compute the velocity field whereas the transport equation is solved using a Lax-Wendroff scheme. Numerical results are compared to experiments on Gries glacier (Wallis, Switzerland) between 1961 and 1991. Then, a predition for 2021 is proposed. Copyright (C) 2004 John Wiley Sons, Ltd.glaciericefinite elementsnon-Newtonian fluidfree surfaceGEOMETRIC CONSERVATIONFLOW MODELGLACIOLOGYFORMULATIONVELOCITYSCHEMESSTRESSFIELDSNumerical simulation of the motion of a two-dimensional glaciertext::journal::journal article::research article