A discussion on eddy viscosity models on the basis of the large eddy simulation of turbulent flow in a square duct
type: Item
instance of: scholarly article
title: A discussion on eddy viscosity models on the basis of the large eddy simulation of turbulent flow in a square duct
zbMATH Open document ID: 0764.76029
DOI: 10.1016/0045-7930(92)90015-N
author: T. Kajishima
author: Yutaka Miyake
published in: Computers and Fluids
publication date: 1993-01-16T00:00:00Z
review text: In turbulent flow in a noncircular duct a turbulence-driven secondary flow originates which is predicted on the basis of the large eddy simulation computation. The governing second order partial differential equations and some eddy viscosity formulae are set up in a nondimensionalized form, at which a certain Reynolds number is the only parameter to be specified for the computation. The setup of the finite difference calculation with respect to the adopted grid, the spatial derivatives and the time marching scheme is described. The evaluation of the averaged main turbulent flow and of turbulence- driven secondary flow is discussed in detail for two typical Reynolds numbers. Especially the question of the origin of the secondary flow in connection with that of the validity of eddy viscosity models is treated thoroughly. The result is that the secondary flow is produced as a consequence of the imbalance between the gradient of the turbulence stress and that of the corresponding pressure in the region very close to the corner wall of the examined duct of square cross section and that suitable anisotropic eddy viscosity models must be used.
reviewed by: J. T. Heynatz
Mathematics Subject Classification ID: 76F10
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 92726
zbMATH Keywords: turbulence-driven secondary flow
zbMATH Keywords: time marching scheme
zbMATH Keywords: averaged main turbulent flow
zbMATH Keywords: anisotropic eddy viscosity models
MaRDI profile type: Publication
cites work: Calculation of turbulence-driven secondary motion in non-circular ducts
cites work: The production and diffusion of vorticity in duct flow
cites work: Vier Woodbury-Formeln hergeleitet aus dem Variablentausch einer speziellen Matrix
cites work: Statistical analysis of the deviation of the Reynolds stress from its eddy-viscosity representation
full work available at URL: 0045-7930(92)90015-n
OpenAlex ID: W1999593012
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description: scientific article; zbMATH DE number 92726