Equation-Free Particle-Based Computations: Coarse Projective Integration and Coarse Dynamic Renormalization in 2D
摘要
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.
引用
@article{arxiv.math/0511528,
title = {Equation-Free Particle-Based Computations: Coarse Projective Integration and Coarse Dynamic Renormalization in 2D},
author = {Yu Zou and Ioannis G. Kevrekidis and Roger G. Ghanem},
journal= {arXiv preprint arXiv:math/0511528},
year = {2007}
}
备注
14 pages, 12 figures. Submitted to a special volume of Industrial and Engineering Chemistry Research