Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6930329 | Journal of Computational Physics | 2016 | 30 Pages |
Abstract
We present several benchmark tests for Monte Carlo methods simulating diffusion in one-dimensional discontinuous media. These benchmark tests aim at studying the potential bias of the schemes and their impact on the estimation of micro- or macroscopic quantities (repartition of masses, fluxes, mean residence time, â¦). These benchmark tests are backed by a statistical analysis to filter out the bias from the unavoidable Monte Carlo error. We apply them on four different algorithms. The results of the numerical tests give a valuable insight into the fine behavior of these schemes, as well as rules to choose between them.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Antoine Lejay, Géraldine Pichot,