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Mass Transfer & Porous Media (MTPM) - Andra

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P/<strong>MTPM</strong>/8The mesh of the elementary calculation domain is presented on Figure2 for a coarse refinement. Two finest refinement levels leading to200,000 and 1,600,000 cells were used for calculations.Radionuclide transport calculations performed for each refinementlevel mesh were analyzed by comparing time dependent fluxes at theupper domain boundary outlet.Our mesh and time step convergence calculations point out that MHFEand VF schemes applied on non-parralellepipedic hexahedral cells forflow and transport calculations in highly heterogeneous media gavesatisfactory results. Mesh refinement level as well as time steprequired for converged calculations were exhibited an analyzed in termof cpu time needed.Figure 2: Coarser mesh refinementlevel of calculation domain(24 000 cells).References:Gerardo-Giorda, L., Le Tallec, P., Nataf, F. (2004): A Robin-Robin preconditioner for stronglyheterogeneous advection-diffusion problems, Comput. Methods Appl. Mech. Engrg., 193, n° 9-11, 745-764Brezzi, F. and M. Fortin, M. (1991): Mixed and Hybrid Finite Methods, Springer-Verlag, New York, USA.Dabbene, F. (1998): Mixed Hybrid Finite Elements for Transport of Pollutants by Undergrounds Water,Proceedings of the 10th Int. Conf. on Finite Elements in Fluids, Tucson USA, January 5-8, pp. 456-461.Aavatsmark, I., Barkve, T., Boe, O., Mannseth, T. (1998): Discretization on unstructured grids forinhomogeneous, anisotropic media, Part I: Derivation of the methods, Siam J. Sci. Comput., 19, n°5,pp. 1700-1716.Le Potier, C. (2004): Finite volume in 2 or 3 dimensions for a diffusion convection equation applied toporous media with Cast3m Proceedings of the XV th Int. Conf. on Computational Methods in WaterResources, Chapel hill USA, June 13-17.Page 438INTERNATIONAL MEETING, SEPTEMBER 17...>...18, 2007, LILLE, FRANCECLAYS IN NATURAL & ENGINEERED BARRIERSFOR RADIOACTIVE WASTE CONFINEMENT

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