Stochastic estimation of organized turbulent structure

Homogeneous shear flow

Research output: Contribution to journalArticle

172 Citations (Scopus)

Abstract

The large-scale organized structures of turbulent flow can be characterized quantitatively by a conditional eddy, given the local kinematic state of the flow as specified by the conditional average of u(x‘, t) given the velocity and the deformation tensor at a point x:(u(x‘, t)u(x, t), d(xt)}. By means of linear mean-square stochastic estimation, (u‘u, £/ is approximated in terms of the two-point spatial correlation tensor, and the conditional eddy is evaluated for arbitrary values of u(x, t) and d(x, t), permitting study of the turbulent field for a wide range of local kinematic states. The linear estimate is applied to homogeneous turbulent shear flow data generated by direct numerical simulation. The joint velocity-deformation probability density function is used to obtain conditions corresponding to those events that contribute most to the Reynolds shear stress. The primary contributions to the second-quadrant and fourth-quadrant Reynolds-stress events in homogeneous shear flow come from flow induced through the’legs’ and close to the ‘heads’ of upright and inverted ‘hairpins’, respectively. The equation governing the joint probability density function of fu d(u, d) is derived. It is shown that this equation contains u’ 1 u, f and that the equations for second-order closure can be derived from it.

Original languageEnglish (US)
Pages (from-to)531-559
Number of pages29
JournalJournal of Fluid Mechanics
Volume190
DOIs
StatePublished - 1988
Externally publishedYes

Fingerprint

Shear flow
shear flow
Probability density function
Tensors
Kinematics
quadrants
Reynolds stress
probability density functions
Direct numerical simulation
kinematics
tensors
vortices
Turbulent flow
Shear stress
direct numerical simulation
turbulent flow
shear stress
closures
estimates

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Stochastic estimation of organized turbulent structure : Homogeneous shear flow. / Adrian, Ronald.

In: Journal of Fluid Mechanics, Vol. 190, 1988, p. 531-559.

Research output: Contribution to journalArticle

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