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A NEW PARTICLE SET OF CONTOURS METHOD FOR ADVECTION-DIFFUSION PROBLEMS APPLIED TO THE MODELLING OF WASTE DISPOSAL

Héloïse Beaugendre 1, 2, 3 Serge Huberson 4 Iraj Mortazavi 2, 3
1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
3 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
4 HydEE - Hydrodynamique et Ecoulements Environnementaux
FTC - Département Fluides, Thermique et Combustion
Abstract : In this work a particle sets of contours method is coupled to a streamline technique in order to obtain accurate approximations of transport problems. A modified streamlines technique is proposed and several bench tests arising in porous media are then simulated to validate the new method. These results are complemented with the resolution of the diffusion operator in a non conservative form where the non-linear diffusion operator is transformed in a velocity-like term and solved using this new particle method. The method is then used to model transport in porous media applied to the waste disposal.
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https://hal.inria.fr/hal-00725822
Contributor : Héloïse Beaugendre <>
Submitted on : Monday, August 27, 2012 - 6:45:06 PM
Last modification on : Friday, April 9, 2021 - 11:40:54 AM

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Héloïse Beaugendre, Serge Huberson, Iraj Mortazavi. A NEW PARTICLE SET OF CONTOURS METHOD FOR ADVECTION-DIFFUSION PROBLEMS APPLIED TO THE MODELLING OF WASTE DISPOSAL. ASME 2012 Fluids Engineering, FEDSM 2012, Jul 2012, Puerto Rico, United States. ⟨10.1115/FEDSM2012-72359⟩. ⟨hal-00725822⟩

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