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Communication Dans Un Congrès Année : 2013

A numerical scheme for diffusion processes in porous media

Résumé

By nature, porous media are extremely heterogeneous.The lack of precise description and the presence of large scale physical phenoma imply the use of numerical simulation [Beaudoin et al., 2010]. In this talk, we will consider a one-dimensional advection-diffusion equation who involves piecewise constant coefficients. The main difficulty comes from the discontinuity who reflects the problem of multiple layers in the ground. Without drift term, the Skew Brownian Motion permits to develop several exact algorithms with constant time step [Lejay and Pichot, 2012]. Our work will mainly rely on the methods for adding the drift term and the possibility to treat higher dimensional problems. We will discuss existing methods [Etoré and Martinez, 2013] and propose few benchmark tests.
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Dates et versions

hal-00907563 , version 1 (21-11-2013)

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  • HAL Id : hal-00907563 , version 1

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Lionel Lenôtre. A numerical scheme for diffusion processes in porous media. IMACS 2013, 2013, Annecy-le-Vieux, France. ⟨hal-00907563⟩
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