Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifschitz-Slyozov-Wagner system with a diffusive correction - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Scientific Computing Année : 2019

Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifschitz-Slyozov-Wagner system with a diffusive correction

Thierry Goudon

Résumé

We propose a well-balanced scheme for the modified Lifshitz-Slyozov equation, that incorporates a size-diffusion term. The method uses the Fokker-Planck structure of the equation. In turn, large time simulations can be performed with a reduced computational cost, since the time step constraints are relaxed. The simulations bring out the critical mass threshold and the relaxation to equilibrium, which can be expected from the formal analogies with the Becker-Döring system.
Fichier principal
Vignette du fichier
LSDiff.pdf (876.79 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01959069 , version 1 (18-12-2018)

Identifiants

  • HAL Id : hal-01959069 , version 1

Citer

Thierry Goudon, Laurent Monasse. Fokker-Planck approach of Ostwald ripening: simulation of a modified Lifschitz-Slyozov-Wagner system with a diffusive correction. SIAM Journal on Scientific Computing, In press. ⟨hal-01959069⟩
120 Consultations
324 Téléchargements

Partager

Gmail Facebook X LinkedIn More