Simulating diffusion processes in discontinuous media: Benchmark tests - Archive ouverte HAL Access content directly
Journal Articles Journal of Computational Physics Year : 2016

Simulating diffusion processes in discontinuous media: Benchmark tests

(1, 2) , (3)
1
2
3

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,. . .). 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 of the fine behavior of these schemes, as well as rules to choose between them.
Fichier principal
Vignette du fichier
benchmarks_lejay_pichot_FV_R1.pdf (1.59 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01003853 , version 1 (10-06-2014)
hal-01003853 , version 2 (23-02-2016)
hal-01003853 , version 3 (18-03-2016)
hal-01003853 , version 4 (05-07-2017)

Identifiers

Cite

Antoine Lejay, Géraldine Pichot. Simulating diffusion processes in discontinuous media: Benchmark tests. Journal of Computational Physics, 2016, 314, pp.384 - 413. ⟨10.1016/j.jcp.2016.03.003⟩. ⟨hal-01003853v4⟩
605 View
519 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More