1996
DOI: 10.1137/s1064827593251708
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Statistical Equilibrium Computations of Coherent Structures in Turbulent Shear Layers

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Cited by 52 publications
(53 citation statements)
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“…[35][36][37][38][39][40][41][42] Consideration of these mathematically ambitious theories lies outside the scope of this article. Our interest here is focused on what happens as a consequence of Navier-Stokes, not ideal, dynamics, and involves a comparison of the predictions of ͑his-torically͒ the first two Euler entropy maximizations with a Navier-Stokes decay.…”
Section: Introductionmentioning
confidence: 99%
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“…[35][36][37][38][39][40][41][42] Consideration of these mathematically ambitious theories lies outside the scope of this article. Our interest here is focused on what happens as a consequence of Navier-Stokes, not ideal, dynamics, and involves a comparison of the predictions of ͑his-torically͒ the first two Euler entropy maximizations with a Navier-Stokes decay.…”
Section: Introductionmentioning
confidence: 99%
“…There are not likely to be accurate continuum Euler-equation solutions over several hundred eddy turnover times to compare with in the near future. This is not to say that the predictions of the abovementioned recently presented theories [35][36][37][38][39][40][41][42] might not eventually be shown to have an even better predictive capacity for viscous turbulent decays than these two. Sharpening up what predictions might be extracted from them that could be compared with a Navier-Stokes decay computation appears as a desirable activity, and actually making the comparisons appears as a demanding one.…”
Section: Introductionmentioning
confidence: 99%
“…An efficient numerical method for solving the constrained maximum entropy problem has been presented by Turkington et al in [20] [21]. Their predictions based on statistical equilibrium computations are consistent with the conclusions drawn from direct simulations of high Reynolds' flows, at least for regimes with a high rate of relaxation into equilibrium.…”
Section: Introductionmentioning
confidence: 58%
“…For analyses the equilibrium thermodynamics of the SGR model both in the canonical and in the microcanonical ensemble, we presents a new iterative method which ensures entropy increase and leads in a unique way towards the stable equilibrium single particle distribution function [6]. The method is inspired by a similar one used to compute entropy maxima in 2D turbulence [7].…”
mentioning
confidence: 99%