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. (C) 2004 Elsevier B.V. All rights reserved.

On the use of the pulsed-convection approach for modelling advection-diffusion in chaotic flows - A prototypical example and direct numerical simulations / Giona, Massimiliano; Adrover, Alessandra; Cerbelli, Stefano. - In: PHYSICA. A. - ISSN 0378-4371. - STAMPA. - 348:(2005), pp. 37-73. [10.1016/j.physa.2004.09.048]

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

GIONA, Massimiliano;ADROVER, Alessandra;CERBELLI, Stefano
2005

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. (C) 2004 Elsevier B.V. All rights reserved.
2005
spectral analysis; pulsed systems; chaotic mixing; advection-diffusion equation
01 Pubblicazione su rivista::01a Articolo in rivista
On the use of the pulsed-convection approach for modelling advection-diffusion in chaotic flows - A prototypical example and direct numerical simulations / Giona, Massimiliano; Adrover, Alessandra; Cerbelli, Stefano. - In: PHYSICA. A. - ISSN 0378-4371. - STAMPA. - 348:(2005), pp. 37-73. [10.1016/j.physa.2004.09.048]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/47755
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