Journal ArticleDOI
On the magnitude of the subgrid scale eddy coefficient
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TLDR
In this article, a three-dimensional numerical integration capable of resolving the energy containing motions at large Reynolds number has been presented, where the proportionality constant suggested by Lilly is found to be sufficient in the presence of mean shear.About:
This article is published in Journal of Computational Physics.The article was published on 1971-02-01. It has received 266 citations till now. The article focuses on the topics: Turbulence & Reynolds number.read more
Citations
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Journal ArticleDOI
A proposed modification of the Germano subgrid‐scale closure method
TL;DR: In this paper, the subgrid-scale closure method developed by Germano et al. is modified by use of a least squares technique to minimize the difference between the closure assumption and the resolved stresses.
Journal ArticleDOI
Renormalization group analysis of turbulence I. Basic theory
Victor Yakhot,Steven A. Orszag +1 more
TL;DR: In this article, a dynamic renormalization group (RNG) method for hydrodynamic turbulence was developed, which uses dynamic scaling and invariance together with iterated perturbation methods, allowing us to evaluate transport coefficients and transport equations for the large scale (slow) modes.
Journal ArticleDOI
Subgrid Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli
TL;DR: In this paper, the finite difference procedure and the subgrid scale (SGS) motion model are used to simulate high Reynolds number turbulent flows of incompressible fluids in plane channels and annuli, and the boundary conditions are formulated in a manner consistent with the SGS theory.
Book ChapterDOI
Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows
TL;DR: In this paper, the derivation of smoothed or filtered momentum and continuity equations for large-scale, energy-containing eddies is considered and questions regarding the energy loss of largescale turbulence are discussed along with aspects of turbulent diffusion of a passive scalar.
Improved Subgrid-scale Models for Large-Eddy Simulation
TL;DR: In this article, the authors analyzed models for subgrid-scale turbulence and showed that the kinetic energy of small-scale motions can be decomposed into two parts: one results from the large scales and is correlated with them, and the other part is uncorrelated which leads to a two-component eddy-viscosity model.
References
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Journal ArticleDOI
General circulation experiments with the primitive equations
TL;DR: In this article, an extended period numerical integration of a baroclinic primitive equation model has been made for the simulation and the study of the dynamics of the atmosphere's general circulation, and the solution corresponding to external gravitational propagation is filtered by requiring the vertically integrated divergence to vanish identically.
Journal ArticleDOI
Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
Journal ArticleDOI
Systems of conservation laws
Peter D. Lax,Burton Wendroff +1 more
TL;DR: In this article, a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear conservation laws, and the best ones are determined, i.e., those which have the smallest truncation error and in which the discontinuities are confined to a narrow band of 2-3 meshpoints.
Journal ArticleDOI
A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers
TL;DR: In this article, 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.
Journal ArticleDOI
Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion
TL;DR: In this article, it was shown that the derived form of the finite difference Jacobian can prevent nonlinear computational instability and thereby permit long-term numerical integrations, which is not the case in finite difference analogues of the equation of motion for two-dimensional incompressible flow.