Direct and large eddy simulation of the transition of two- and three-dimensional plane plumes in a confined enclosure
type: Item
instance of: scholarly article
title: Direct and large eddy simulation of the transition of two- and three-dimensional plane plumes in a confined enclosure
zbMATH Open document ID: 0991.76080
DOI: 10.1016/S0017-9310(99)00302-6
author: Rob J. M. Bastiaans
author: C. C. M. Rindt
author: F. T. M. Nieuwstadt
author: Anton A. van Steenhoven
published in: International Journal of Heat and Mass Transfer
publication date: 2002-08-28T00:00:00Z
review text: The authors investigate the free convection flow induced by a line heat source in a confined geometry. The buoyancy forcing of this flow is characterized by Rayleigh number, Ra, which is chosen in the range where an intermittent spatial transition from laminar to turbulent flow takes place. The governing non-dimensional equations are solved numerically using a finite volume method in the case of air flow, i.e. the Prandtl number \(\text{Pr}=0.71\) and \(\text{Ra}= 10^{10}\). For the numerical simulation, the authors use the direct numerical simulation (DNS) and large eddy simulation (LES) schemes. First, they consider a two-dimensional representation of this flow at resolution of \(195^2\). Next the three-dimensional case at resolution of \(195^3\) has been treated. The three-dimensional simulation reveals a symmetrical time-mean recirculation which covers the domain above the heat source. The LES method for the same flow is carried out at a resolution of \(45^3\). There are many interesting results reported in this paper, but we mention here only the following ones: 1) the time-mean turbulent flow which arises under transient conditions shows a symmetrical profile. All fluctuations have their maximum near the top wall at the centre of the box. In particular, the fluctuations in the axial direction show a relatively sharp increase just below the top wall; 2) On the average, most of LES computations produce a solution which is similar to the DNS solution. Especially, relatively simple equilibrium models lead to a good agreement between LES and DNS.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76F65
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 76M12
zbMATH DE Number: 1502272
zbMATH Keywords: free convection
zbMATH Keywords: line heat source
zbMATH Keywords: confined geometry
zbMATH Keywords: buoyancy forcing
zbMATH Keywords: transition from laminar to turbulent flow
zbMATH Keywords: finite volume method
zbMATH Keywords: direct numerical simulation
zbMATH Keywords: large eddy simulation
zbMATH Keywords: time-mean turbulent flow
reviewed by: Ioan Pop
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1502272