Book ChapterDOI
Numerical simulation of turbulence
Steven A. Orszag,G. S. Patterson +1 more
- Vol. 12, pp 127-147
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In this article, numerical simulations of three-dimensional homogeneous, isotropic turbulence at windtunnel Reynolds numbers (Rλ 20−40) are reported. And the results of the simulations are compared with the predictions of turbulence theories.Abstract:
Numerical simulations of three-dimensional homogeneous, isotropic turbulence at windtunnel Reynolds numbers (Rλ 20–40) are reported. The results of the simulations are compared with the predictions of turbulence theories.read more
Citations
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Book ChapterDOI
Theory of Homogeneous Turbulence
TL;DR: An overview of the theory of homogeneous turbulence is given in this paper, where concepts of quasi-normality of large-scale motions are explained and modified zero cumulant approximation is presented.
Journal ArticleDOI
The phenomenology of small-scale turbulence
TL;DR: In this article, the authors survey the existing work on intermittency, refined similarity hypotheses, anomalous scaling exponents, derivative statistics, and intermittency models, and the structure and kinematics of small-scale structure.
Book ChapterDOI
Computational Modeling of Turbulent Flows
TL;DR: In this article, it is shown that direct simulation is not an alternative for practical computation and that the various sophisticated closures suffer from essentially the same problems as the direct simulations and therefore, are limited to homogeneous situations.
Journal ArticleDOI
Strong MHD helical turbulence and the nonlinear dynamo effect
TL;DR: In this paper, a nonlinear theory is developed for three-dimensional, homogeneous, isotropic, incompressible MHD turbulence with helicity, i.e. not statistically invariant under plane reflexions.
Journal ArticleDOI
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.
References
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Book
The theory of homogeneous turbulence
TL;DR: In this article, the kinematics of the field of homogeneous turbulence and the universal equilibrium theory of decay of the energy-containing eddies are discussed. But the authors focus on the dynamics of decay and not on the probability distribution of u(x).
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
Spectral Calculations of Isotropic Turbulence: Efficient Removal of Aliasing Interactions
G. S. Patterson,Steven A. Orszag +1 more
TL;DR: In this paper, an algorithm for the rapid calculation of the convolution sums appearing in the Fourier-transformed Navier-Stokes equations in three dimensions is given. But the algorithm is only a factor of 4 more efficient than previously suggested algorithms.
Journal ArticleDOI
Numerical simulation of incompressible flows within simple boundaries: accuracy
TL;DR: Galerkin (spectral) methods for numerical simulation of incompressible flows within simple boundaries are shown to possess many advantages over existing finite-difference methods as mentioned in this paper, and the accuracy of Galerkin approximations obtained from truncated Fourier expansions is explored.
Journal ArticleDOI
An almost-Markovian Galilean-invariant turbulence model
TL;DR: In this paper, a model equation of Langevin type for the turbulent velocity field is constructed, in which the nonlinear terms of the Navier-Stokes equation are replaced by a dynamical damping term and a random forcing term, with strength parameters determined by the past history of the energy spectrum.