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
2 IMB - Institut de Mathématiques de Bordeaux
3 MC2 - Modélisation, contrôle et calcul
4 HydEE - Hydrodynamique et écoulements environnementaux [Institut Pprime]

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.

Domaines: Modélisation et simulation; Sciences de l'environnement; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

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⟩