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

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

doi:10.1021/ie0512688

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

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

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	7002-7014
Number of pages	13
Journal	Industrial and Engineering Chemistry Research
Volume	45
Issue number	21
DOIs	https://doi.org/10.1021/ie0512688
State	Published - Oct 11 2006

All Science Journal Classification (ASJC) codes

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

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10.1021/ie0512688

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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.",

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AU - Ghanem, Roger G.

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AB - 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.

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SN - 0888-5885

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

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