Techniques for Lagrangian modelling of dispersion in geophysical flows

Rossi, Daniele (2014) Techniques for Lagrangian modelling of dispersion in geophysical flows, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Scienze della terra, 26 Ciclo. DOI 10.6092/unibo/amsdottorato/6356.
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Abstract

Basic concepts and definitions relative to Lagrangian Particle Dispersion Models (LPDMs)for the description of turbulent dispersion are introduced. The study focusses on LPDMs that use as input, for the large scale motion, fields produced by Eulerian models, with the small scale motions described by Lagrangian Stochastic Models (LSMs). The data of two different dynamical model have been used: a Large Eddy Simulation (LES) and a General Circulation Model (GCM). After reviewing the small scale closure adopted by the Eulerian model, the development and implementation of appropriate LSMs is outlined. The basic requirement of every LPDM used in this work is its fullfillment of the Well Mixed Condition (WMC). For the dispersion description in the GCM domain, a stochastic model of Markov order 0, consistent with the eddy-viscosity closure of the dynamical model, is implemented. A LSM of Markov order 1, more suitable for shorter timescales, has been implemented for the description of the unresolved motion of the LES fields. Different assumptions on the small scale correlation time are made. Tests of the LSM on GCM fields suggest that the use of an interpolation algorithm able to maintain an analytical consistency between the diffusion coefficient and its derivative is mandatory if the model has to satisfy the WMC. Also a dynamical time step selection scheme based on the diffusion coefficient shape is introduced, and the criteria for the integration step selection are discussed. Absolute and relative dispersion experiments are made with various unresolved motion settings for the LSM on LES data, and the results are compared with laboratory data. The study shows that the unresolved turbulence parameterization has a negligible influence on the absolute dispersion, while it affects the contribution of the relative dispersion and meandering to absolute dispersion, as well as the Lagrangian correlation.

Abstract
Tipologia del documento
Tesi di dottorato
Autore
Rossi, Daniele
Supervisore
Co-supervisore
Dottorato di ricerca
Scuola di dottorato
Scienze della terra e dell'ambiente
Ciclo
26
Coordinatore
Settore disciplinare
Settore concorsuale
Parole chiave
Air quality, Lagrangian model, trajectory model, numerical methods, boundary layer, geophysical flows, turbulence
URN:NBN
DOI
10.6092/unibo/amsdottorato/6356
Data di discussione
7 Aprile 2014
URI

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