1970
DOI: 10.1017/s0022112070000691
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A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers

Abstract: The three-dimensional, primitive equations of motion have been integrated numerically in time for the case of turbulent, plane Poiseuille flow at very large Reynolds numbers. A total of 6720 uniform grid intervals were used, with subgrid scale effects simulated with eddy coefficients proportional to the local velocity deformation. The agreement of calculated statistics against those measured by Laufer ranges from good to marginal. The eddy shapes are examined, and only the u-component, longitudinal eddies are … Show more

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Cited by 1,674 publications
(816 citation statements)
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“…The other, which provides the viscous length scale, is usually the square of a measure of the filter width or the grid resolution. When the grid spacing is uniform (or close to being uniform) in all directions, it is standard (following Deardorff [22]) to use the cube root of the volume of a finite volume cell or a finite element as the Smagorinsky length scale. Under these conditions, the only unknown that appears in the Smagorinsky model is a dimensionless parameter which may be determined analytically following Lilly's analysis [23] or as part of the simulation (dynamically) following the approach developed by Germano et al [18].…”
Section: Generalized Smagorinsky Model In Physical Space [7]mentioning
confidence: 99%
“…The other, which provides the viscous length scale, is usually the square of a measure of the filter width or the grid resolution. When the grid spacing is uniform (or close to being uniform) in all directions, it is standard (following Deardorff [22]) to use the cube root of the volume of a finite volume cell or a finite element as the Smagorinsky length scale. Under these conditions, the only unknown that appears in the Smagorinsky model is a dimensionless parameter which may be determined analytically following Lilly's analysis [23] or as part of the simulation (dynamically) following the approach developed by Germano et al [18].…”
Section: Generalized Smagorinsky Model In Physical Space [7]mentioning
confidence: 99%
“…in which Δ is the volume of numerical elements and the model coefficient is given as Cs=0.15 in this study [7]. The following Van-Driest type damping function is adopted:…”
Section: Governing Equationsmentioning
confidence: 99%
“…where C S is the Smagorinsky coefficient, set to 0.1 in this simulation (5) . ∆ denotes the filter width.…”
Section: Sgs Terms and Basic Assumptionsmentioning
confidence: 99%