Abstract
The problem of mass and thermal flow in Alpine Glaciers has been approached in the literature by adoptingsimplifying assumptionssuch as the Shallow Ice approximation. Most of the proposedmodels are 2D or quasi‐3D;no full 3D models have beenproposedto ourknowledge;theproblem,however,isfully3Ddueto thecomplex geometry of the domain and to the free surface which evolves in time because of atmospheric as well as of internal motion reasons. In the presented work a fully 3D model is proposed. The Finite Volume (FV) method is used for the space discretization in order to guarantee both local and globalconservationof mass. Thetime advancingschemeis based on theFractional Step theory and is capableof dealing with the free surface evolution.The proposed method is similar to the method proposed by Casulli [1] but a higher approximation order is used for convective and diffusive terms and for the discretization of boundary conditions.
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