Equation-free particle-based computations: Coarse projective integration and coarse dynamic renormalization in 2D

Yu Zou, Ioannis G. Kevrekidis, Roger G. Ghanem

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)7002-7014
Number of pages13
JournalIndustrial and Engineering Chemistry Research
Volume45
Issue number21
DOIs
StatePublished - Oct 11 2006

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

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