Comparison of some Lagrangian schemes for the simulation of diffusion in discontinuous media

Jocelyne Erhel 1 Antoine Lejay 2, 3, 4 Géraldine Pichot 1
1 SAGE - Simulations and Algorithms on Grids for Environment
Inria Rennes – Bretagne Atlantique , IRISA-D1 - SYSTÈMES LARGE ÉCHELLE
2 Probabilités et statistiques
IECL - Institut Élie Cartan de Lorraine
4 TOSCA
INRIA Lorraine, CRISAM - Inria Sophia Antipolis - Méditerranée , UHP - Université Henri Poincaré - Nancy 1, Université Nancy 2, INPL - Institut National Polytechnique de Lorraine, CNRS - Centre National de la Recherche Scientifique : UMR7502
Abstract : We study a diffusion process in a 1D discontinuous medium using a random walk approach. Our main contribution is to encompass two existing numerical methods in the unified framework of the Skew Brownian Motion. This theoretical approach allows to detail and justify the derived algorithms. Numerical simulations are performed on two test cases to show that the algorithms can deal with the discontinuity in the diffusion coefficient
Type de document :
Communication dans un congrès
B. Amaziane and D. Barrera and H. Mraoui and M.L. Rodriguez and D. Sbibih. Mamern 2011, May 2011, Saidia, Morocco. B. Amaziane and D. Barrera and H. Mraoui and M.L. Rodriguez and D. Sbibih, pp.319-322, 2011
Liste complète des métadonnées

https://hal.inria.fr/hal-00642194
Contributeur : Géraldine Pichot <>
Soumis le : jeudi 17 novembre 2011 - 15:26:21
Dernière modification le : mardi 16 janvier 2018 - 15:54:11

Identifiants

  • HAL Id : hal-00642194, version 1

Citation

Jocelyne Erhel, Antoine Lejay, Géraldine Pichot. Comparison of some Lagrangian schemes for the simulation of diffusion in discontinuous media. B. Amaziane and D. Barrera and H. Mraoui and M.L. Rodriguez and D. Sbibih. Mamern 2011, May 2011, Saidia, Morocco. B. Amaziane and D. Barrera and H. Mraoui and M.L. Rodriguez and D. Sbibih, pp.319-322, 2011. 〈hal-00642194〉

Partager

Métriques

Consultations de la notice

529