Author:
Forgia Giovanni La,Cavaliere Davide,Espa Stefania,Falcini Federico,Lacorata Guglielmo
Abstract
AbstractWe present a review and a new assessment of the Lagrangian dispersion properties of a 2D model of chaotic advection and diffusion in a regular lattice of non stationary kinematic eddies. This model represents an ideal case for which it is possible to analyze the same system from three different perspectives: theory, modelling and experiments. At this regard, we examine absolute and relative Lagrangian dispersion for a kinematic flow, a hydrodynamic model (Delft3D), and a laboratory experiment, in terms of established dynamical system techniques, such as the measure of (Lagrangian) finite-scale Lyapunov exponents (FSLE). The new main results concern: (i) an experimental verification of the scale-dependent dispersion properties of the chaotic advection and diffusion model here considered; (ii) a qualitative and quantitative assessment of the hydro-dynamical Lagrangian simulations. The latter, even though obtained for an idealized open flow configuration, contributes to the overall validation of the computational features of the Delft3D model.
Publisher
Springer Science and Business Media LLC
Reference45 articles.
1. Aref, H. Stirring by chaotic advection. J. Fluid Mech 143, 1–21 (1984).
2. Ottino, J. M. The kinematics of mixing: stretching, chaos and transport (Cambridge University Press, Cambridge, 1989).
3. Crisanti, A., Falcioni, M., Paladin, G. & Vulpiani, A. Lagrangian chaos: transport, mixing and diffusion in fluids. Il Nuovo Cimento 14, 1–80 (1991).
4. Aref, H. et al. Frontiers of chaotic advection. Rev. Mod. Phys. 89, 1–66 (2017).
5. Boffetta, G., Celani, A., Cencini, M., Lacorata, G. & Vulpiani, A. The predictability problem in system with an uncertainty in the evolution law. J. Phys. A Math. Gen. 33, 1313–1324 (2000).
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