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Book ChapterDOI

Numerical Computation of Turbulent Shear Flows

Steven A. Orszag, +1 more
- 01 Jan 1975 - 
- Vol. 18, pp 225-236
TLDR
In this article, the authors describe the simulations of turbulent shear flows by direct numerical solution of the three-dimensional Navier-Stokes equations, the dynamical equations, and boundary conditions employed with particular emphasis on the momentum less wake model.
Abstract
Publisher Summary This chapter describes the simulations of turbulent shear flows by direct numerical solution of the three-dimensional Navier-Stokes equations, the dynamical equations, and boundary conditions employed with particular emphasis on the momentum less wake model The numerical computation approach provides several advantages over more conventional approaches—the complete flow field is obtained at all times so that detailed flow characteristics may be obtained that would be difficult to measure in the laboratory, and the initial conditions can be accurately controlled so that their effect may be determined The technique of imposing the initial conditions allows arbitrary mean velocity profile, turbulence intensity profile, and local turbulence energy spectrum The present simulations of turbulent shear flows are a first step toward proper understanding of the basic mechanisms and dynamics of these flows Detailed comparisons and tests are presently underway between various turbulence modeling hypotheses, laboratory experiments, and the present simulations As time and the art of numerical simulation progress, simulations like the present ones should be expected to fulfill more and more need of a laboratory workhorse

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Citations
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Computational Aerodynamics Development and Outlook

TL;DR: The field of computational fluid dynamics during recent years has developed sufficiently to initiate some changes in traditional methods of aerodynamic design, and numerical simulations offer the potential of mending many ills of wind-tunnel and turbomachinery experiments and of providing thereby important new technical capabilities for the aerospace industry.
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A scale-dependent Lagrangian dynamic model for large eddy simulation of complex turbulent flows

TL;DR: In this paper, a scale-dependent dynamic subgrid model based on Lagrangian time averaging is proposed and tested in large eddy simulations (LES) of high-Reynolds number boundary layer flows over homogeneous and heterogeneous rough surfaces.
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A scale-dependent dynamic model for large-eddy simulation: application to a neutral atmospheric boundary layer

TL;DR: In this paper, a scale-dependent dynamic subgrid-scale model for large-eddy simulation of turbulent flows is proposed, which does not rely on the assumption that the model coefficient is scale invariant.
Journal ArticleDOI

Secondary instability of a temporally growing mixing layer

TL;DR: The three-dimensional stability of two-dimensional vortical states of planar mixing layers is studied by direct numerical integration of the Navier-Stokes equations in this article.
Journal ArticleDOI

Atmospheric Turbulence Effects on Wind-Turbine Wakes: An LES Study

TL;DR: In this article, a numerical study of atmospheric turbulence effects on wind-turbine wakes is presented, where the structure and characteristics of turbine wakes in the cases where the incident flows to the turbine have the same mean velocity at the hub height but different mean wind shears and turbulence intensity levels.
References
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Journal ArticleDOI

Numerical Simulation of Three-Dimensional Homogeneous Isotropic Turbulence

TL;DR: In this article, numerical simulations of three-dimensional homogeneous isotropic turbulence at wind-tunnel Reynolds numbers are presented, and the results of the simulations are compared with the predictions of the direct-interaction turbulence theory.
Journal ArticleDOI

Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations

TL;DR: In this article, Galerkin (spectral) methods are explored for the numerical simulation of incompressible flows within simple boundaries and pseudospectral approximations are introduced in order to handle more complicated dynamical interactions in more complicated geometries.
Journal ArticleDOI

On the computational stability of numerical solutions of time-dependent non-linear geophysical fluid dynamics problems

TL;DR: In this article, the conservation and stability properties of the spatial differencing methods devised by Arakawa are investigated by means of spectral analysis of the stream function into finite Fourier modes.
Journal ArticleDOI

Decay of two-dimensional homogeneous turbulence

TL;DR: In this paper, the decay of two-dimensional, homogeneous, isotropic, incompressible turbulence is investigated both by means of numerical simulation (in spectral as well as in grid-point form), and theoretically by use of the direct-interaction approximation and the test-field model.
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