Simulating Diffusion Processes in Discontinuous Media: Benchmark Tests

Antoine Lejay (1, 2) , Géraldine Pichot (3)

1 Probabilités et statistiques
2 TOSCA - TO Simulate and CAlibrate stochastic models
3 SAGE - Simulations and Algorithms on Grids for Environment

We present several benchmark tests for Monte Carlo methods for simulating diffusion in one-dimensional discontinuous media, such as the ones arising the geophysics and many other domains. These benchmarks tests are developed according to their physical, statistical, analytic and numerical relevance. We then perform a systematic study on four numerical methods.

Mots clés: Monte Carlo methods for discontinuous media; Fick's or Darcy's law; breakthrough curve

Domaines: Probabilités [math.PR]

Antoine Lejay, Géraldine Pichot. Simulating Diffusion Processes in Discontinuous Media: Benchmark Tests. [Research Report] Inria. 2014. ⟨hal-01003853v1⟩