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Mathematical modeling of Stratified flows

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Environmental Stratified Flows

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 479))

Abstract

The present Chapter of the lecture notes is divided into three different sections. The first section is devoted to the description of the equations governing a stratified flow field. The Reynolds averaged equations are derived together with the transport equations for the mean and turbulent kinetic energies. A background discussion on the spectral characteristics of a turbulent field is given, aimed at helping the comprehension of the successive sections. The second section describes the direct numerical simulation, together with the numerical techniques currently in use for the integration of the governing equations. Section 2 also contains a brief discussion on recent achievements of DNS in the study of stratified turbulent flows. Section 2 also deals with Large-eddy simulation of stratified turbulent flows. Models widely in use for the closure of the subgrid scale stresses are described and recent achievements in the field of stratified flows discussed. Section 3 is devoted to the description of very recent numerical results for stratified flows over a topography.

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  1. Dipartimento di Ingegneria Civile, Universitá di Trieste, Piazzale Europa 1, 34127, Trieste, Italy

    Vincenzo Armenio

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  1. University of Trieste, Italy

    Vincenzo Armenio

  2. University of California, USA

    Sutanu Sarkar

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Armenio, V. (2005). Mathematical modeling of Stratified flows. In: Armenio, V., Sarkar, S. (eds) Environmental Stratified Flows. CISM International Centre for Mechanical Sciences, vol 479. Springer, Vienna. https://doi.org/10.1007/3-211-38078-7_1

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