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Conference papers

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

Jocelyne Erhel 1 Antoine Lejay 2, 3 Géraldine Pichot 1
1 SAGE - Simulations and Algorithms on Grids for Environment
Inria Rennes – Bretagne Atlantique , IRISA-D1 - SYSTÈMES LARGE ÉCHELLE
3 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
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Conference papers
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https://hal.inria.fr/hal-00642194
Contributor : Géraldine Pichot <>
Submitted on : Thursday, November 17, 2011 - 3:26:21 PM
Last modification on : Friday, March 6, 2020 - 1:36:28 AM

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  • HAL Id : hal-00642194, version 1

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Jocelyne Erhel, Antoine Lejay, Géraldine Pichot. Comparison of some Lagrangian schemes for the simulation of diffusion in discontinuous media. Mamern 2011, May 2011, Saidia, Morocco. pp.319-322. ⟨hal-00642194⟩

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