SIMULATIONS OF THE LIFSHITZ–SLYOZOV EQUATIONS: THE ROLE OF COAGULATION TERMS IN THE ASYMPTOTIC BEHAVIOR-Reference-Cited by-同舟云学术

SIMULATIONS OF THE LIFSHITZ–SLYOZOV EQUATIONS: THE ROLE OF COAGULATION TERMS IN THE ASYMPTOTIC BEHAVIOR

Published:2013-04-02 Issue:07 Volume:23 Page:1177-1215
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

GOUDON THIERRY¹,LAGOUTIÈRE FRÉDÉRIC²,TINE LÉON MATAR³⁴

Affiliation:

1. Team COFFEE, INRIA Sophia Antipolis, Méditerrannée and Labo. J. A. Dieudonné, UMR 7351 CNRS — Université Nice Sophia Antipolis, Parc Valrose, F-06108 Nice, France

2. Département de Mathématiques, Faculté des Sciences d'Orsay, Université Paris-Sud 11 Bâtiment 425, F-91405 Orsay Cedex, France

3. UMR 8145 CNRS — Université Paris V — Paris Descartes, 45 Rue des Saint-Pères, Paris, France

4. Laboratoire d'Analyse Numérique et d'Informatique (LANI), Université Gaston Berger, B. P. 234 Saint-Louis, Sénégal

Abstract

We consider the Lifshitz–Slyozov system that describes the kinetics of precipitation from supersaturated solid solutions. We design specific Finite Volume schemes and we investigate numerically the behavior of the solutions, in particular the large time asymptotics. Our purpose is two-fold: first, we introduce an adapted scheme based on downwinding techniques in order to reduce the numerical diffusion; second, we discuss the influence of coagulation effects on the selection of the asymptotic profile.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202513500061

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