On the use of the pulsed-convection approach for modelling advection-diffusion in chaotic flows—A prototypical example and direct numerical simulations

M. Giona, A. Adrover and S. Cerbelli

Physica A: Statistical Mechanics and its Applications, 2005, vol. 348, issue C, 37-73

Abstract: This article addresses the application of pulsed system models (in which the advection operator is decoupled from the diffusion operator) for investigating the physics of dispersion/homogenization in deterministic chaotic flows. The analysis is organized along to main directions: (i) the development of a simplified time-continuous model which can be viewed as a generalization in a time-continuous frame of the baker's transformation, and which is amenable to analytical investigation, and (ii) the comparison of the results deriving from several typical pulsed-system models with the direct numerical simulation of the advection-diffusion equation. Both these approaches reveal the intrinsic ambiguity of the pulsed system approach in describing advection-diffusion problems.

Keywords: Chaotic mixing; Pulsed systems; Advection-diffusion equation; Spectral analysis (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:348:y:2005:i:c:p:37-73

DOI: 10.1016/j.physa.2004.09.048

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