Energy decay of rotating turbulence with confinement effects

Morize, Cyprien; Moisy, Frédéric

doi:10.1063/1.2212990

Cited by 60 publications

(70 citation statements)

References 23 publications

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“…In experiments, bottom and top Ekman boundary layers can strongly influence the dynamics [29,43,44]. Numerical simulations can similarly be affected by the finite size of computational domains and confinement effects can effectively influence the dynamical picture.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Dimensional transition in rotating turbulence

et al. 2014

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In this work we investigate, by means of direct numerical hyperviscous simulations, how rotation affects the bidimensionalization of a turbulent flow. We study a thin layer of fluid, forced by a two-dimensional forcing, within the framework of the "split cascade" in which the injected energy flows both to small scales (generating the direct cascade) and to large scale (to form the inverse cascade). It is shown that rotation reinforces the inverse cascade at the expense of the direct one, thus promoting bidimensionalization of the flow. This is achieved by a suppression of the enstrophy production at large scales. Nonetheless, we find that, in the range of rotation rates investigated, increasing the vertical size of the computational domain causes a reduction of the flux of the inverse cascade. Our results suggest that, even in rotating flows, the inverse cascade may eventually disappear when the vertical scale is sufficiently large with respect to the forcing scale. We also study how the split cascade and confinement influence the breaking of symmetry induced by rotation.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Dimensional transition in rotating turbulence

et al. 2014

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“…More recently, Baroud et al (2003) investigated turbulent water jets in a rotating annulus at Re λ = 360, and found the turbulent flow to be highly intermittent, independent of the Rossby number. Morize, Moisy, and Rabaud performed several experiments of decaying rotating turbulence in large and small facilities (Morize et al, 2005, Morize and Moisy, 2006, Moisy et al, 2010, and described in details some aspects of the coupling between the inertial wave pattern and the decaying turbulent field using high-resolution PIV. Accurate visualisations by means of reflective flakes of the formation and evolution of columnar eddies in rotating turbulence were performed by Davidson et al (2006).…”

Section: Brief Overview Of Previous Studies Of Rotating Turbulencementioning

confidence: 99%

Table-top rotating turbulence: an experimental insight through particle tracking

Castello

Clercx

Trieling

et al. 2009

Springer Proceedings in Physics

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“…Beyond t c , the energy decreases exponentially as the result of the dissipation by the inertial waves, and no scaling range could be defined from the power spectrum. 11,12 In the following we restrict to times t < t c , where a correct scaling over an appreciable range of scales is observed from both S 2 (r) and E(k).…”

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On the decrease of intermittency in decaying rotating turbulence

2008

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The scaling of the longitudinal velocity structure functions, Sq(r) = |δu(r)| q ∼ r ζq , is analyzed up to order q = 8 in a decaying rotating turbulence experiment from a large Particle Image Velocimetry (PIV) dataset. The exponent of the second-order structure function, ζ2, increases throughout the self-similar decay regime, up to the Ekman time scale. The normalized higher-order exponents, ζq/ζ2, are close to those of the intermittent non-rotating case at small times, but show a marked departure at larger times, on a time scale Ω −1 (Ω is the rotation rate), although a strictly non-intermittent linear law ζq/ζ2 = q/2 is not reached.Whether intermittency of isotropic three-dimensional (3D) turbulence is decreased or even suppressed in the presence of system rotation has recently received a marked interest.1,2 Here, intermittency refers to the anomalous scaling of the structure functions (SF) of order q, S q (r) = |δu(r)| q ∼ r ζq , where δu(x, r) = [u(x + r) − u(x)] · r/r is the longitudinal velocity increment, r an inertial separation normal to the rotation vector Ω and · denotes spatial and ensemble average. A linear variation of the exponents ζ q with the order q is the signature of self-similar (non-intermittent) velocity fluctuations, a situation which is found in the inverse cascade of two-dimensional (2D) turbulence.3 On the other hand, anomalous exponents, ζ q /ζ 2 = q/2, are the landmark of 3D isotropic turbulence. 4,5,6 Based on the qualitative ground that rotating turbulence experiences a partial two-dimensionalization, one may naively expect a reduction or a suppresion of intermittency by comparison with the 3D non-rotating case. More precisely, describing rapidly rotating turbulence in the limit of zero Rossby numbers as a sum of weakly interacting random inertial waves, the vanishing of non-linear effects should lead to a special case of non-intermittent wave turbulence. 7,8Two papers have recently addressed the issue of the scaling of the SF in rotating turbulence with a stationary forcing. The hot-wire measurements of Baroud et al. in a turbulent flow generated by radial jets in a rotating tank showed a transition from an intermittent to a nonintermittent behavior, characterized by a E(k) ∼ k −2 energy spectrum (i.e. ζ 2 = 1) and linear higher-order exponents ζ q = q/2. In a Direct Numerical Simulation (DNS) of rotating turbulence with a large-scale isotropic forcing, Müller and Thiele 2 have observed reduced intermittency, also characterized with ζ 2 1, but higher-order exponents ζ q intermediate between q/2 and the values usually found in classical (intermittent) 3D turbulence. Those observations are in qualitative agreement with the increase of ζ q reported by Simand 9 from hot-wire measurements in the vicinity of a strong vortex, although no clear separation between a constant background rotation and an otherwise homogeneous turbulence advected by the rotation can be defined in this geometry. To date, no theoretical description of the scaling of the anisotropic higher order SF in rotating tu...

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Energy decay of rotating turbulence with confinement effects

Cited by 60 publications

References 23 publications

Dimensional transition in rotating turbulence

Dimensional transition in rotating turbulence

Table-top rotating turbulence: an experimental insight through particle tracking

On the decrease of intermittency in decaying rotating turbulence

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