Equation-Free Particle-Based Computations: Coarse Projective Integration and Coarse Dynamic Renormalization in 2D

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Equation-free approaches have been proposed in recent years for the computational study of multiscale phenomena in engineering problems where evolution equations for the coarse-grained, system-level behavior are not explicitly available. In this paper we study the dynamics of a diffusive particle system in a laminar shear flow, described by a two-dimensional Brownian motion; in particular, we perform coarse projective integration and demonstrate the particle-based computation of coarse self-similar and asymptotically self-similar solutions for this problem. We use marginal and conditional Inverse Cumulative Distribution Functions (ICDFs) as the macroscopic observables of the evolving particle distribution.
14 pages, 12 figures. Submitted to a special volume of Industrial and Engineering Chemistry Research

Keywords

Dynamical Systems, 37F25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/105023

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511528
 http://arxiv.org/abs/math/0511528

Collections

arXiv