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

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dc.creatorZou, Yu
dc.creatorKevrekidis, Ioannis G.
dc.creatorGhanem, Roger G.
dc.date2005-11-21
dc.date.accessioned2026-07-07T06:51:33Z
dc.date.available2026-07-07T06:51:33Z
dc.descriptionEquation-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.
dc.description14 pages, 12 figures. Submitted to a special volume of Industrial and Engineering Chemistry Research
dc.identifierhttps://arxiv.org/abs/math/0511528
dc.identifierhttp://arxiv.org/abs/math/0511528
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105023
dc.subjectDynamical Systems
dc.subject37F25
dc.titleEquation-Free Particle-Based Computations: Coarse Projective Integration and Coarse Dynamic Renormalization in 2D
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