TY - JOUR
T1 - Equation-free particle-based computations
T2 - Coarse projective integration and coarse dynamic renormalization in 2D
AU - Zou, Yu
AU - Kevrekidis, Ioannis G.
AU - Ghanem, Roger G.
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2006/10/11
Y1 - 2006/10/11
N2 - 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.
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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U2 - 10.1021/ie0512688
DO - 10.1021/ie0512688
M3 - Article
AN - SCOPUS:33750374309
VL - 45
SP - 7002
EP - 7014
JO - Industrial and Engineering Chemistry Research
JF - Industrial and Engineering Chemistry Research
SN - 0888-5885
IS - 21
ER -