On the use of the pulsed-convection approach for modelling advection-diffusion in chaotic flows—A prototypical example and direct numerical simulations
✍ Scribed by M. Giona; A. Adrover; S. Cerbelli
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 494 KB
- Volume
- 348
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
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 advectiondiffusion equation. Both these approaches reveal the intrinsic ambiguity of the pulsed system approach in describing advection-diffusion problems.