On the role of helical structures in three-dimensional turbulent flow

Levich, E.; Tsinober, A.

doi:10.1016/0375-9601(83)90792-2

Cited by 90 publications

(63 citation statements)

References 12 publications

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“…In 2D turbulence [4] where the vortices cannot be stretched, Kraichnan [5] proposed a new cascade in 1967: he introduced the concept of an inverse cascade where the energy was transported towards the large scales, whereas a direct cascade transported enstrophy to the small scales. Other particular cases of inverse cascades have been found in some special configurations, as in quantum fluids [6], in wave turbulence [7,8], through the coupling of different modes in a Korteweg-de Vries model [9], in the transport of helicity in inviscid fluids [10,11], or inspired on the magnetic field generation in turbulent flows, the anisotropic kinetic alpha effect [12].We analyze the behavior of a fluid in a closed cavity where two inhomogeneous and strongly turbulent flows collide in a thin region. Depending on the spatial position, different cascades have been found.…”

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confidence: 99%

Inverse Cascades Sustained by the Transfer Rate of Angular Momentum in a 3D Turbulent Flow

López-Caballero

Burguete

2013

Phys. Rev. Lett.

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The existence of energy cascades as signatures of conserved magnitudes is one of the universal characteristics of turbulent flows. In homogeneous 3D turbulence, the energy conservation produces a direct cascade from large to small scales, although in 2D, it produces an inverse cascade pointing towards small wave numbers. In this Letter, we present the first evidence of an inverse cascade in a fully developed 3D experimental turbulent flow where the conserved magnitude is the angular momentum. Two counterrotating flows collide in a central region where very large fluctuations are produced, generating a turbulent drag that transfers the external torque between different fluid layers. DOI: 10.1103/PhysRevLett.110.124501 PACS numbers: 47.27.De, 47.27.wj In his seminal work of 1941 [1,2], Kolmogorov postulated a mechanism for the transfer of energy from the injection scales towards the small scales, where it is finally dissipated [3]. This direct cascade with the now classical exponent of À5=3 has been verified in very different 3D flows, whether homogeneous or not. But there are many topics that remain open; one of these is the creation and origin of coherent structures, with typical scales usually much larger than the injection scales. In 2D turbulence [4] where the vortices cannot be stretched, Kraichnan [5] proposed a new cascade in 1967: he introduced the concept of an inverse cascade where the energy was transported towards the large scales, whereas a direct cascade transported enstrophy to the small scales. Other particular cases of inverse cascades have been found in some special configurations, as in quantum fluids [6], in wave turbulence [7,8], through the coupling of different modes in a Korteweg-de Vries model [9], in the transport of helicity in inviscid fluids [10,11], or inspired on the magnetic field generation in turbulent flows, the anisotropic kinetic alpha effect [12].We analyze the behavior of a fluid in a closed cavity where two inhomogeneous and strongly turbulent flows collide in a thin region. Depending on the spatial position, different cascades have been found. Far from the collision layer, a classical Kolmogorov scenario is found, but in the shear region, inverse cascades appear. These cascades, that have been observed both in spatial and temporal spectra, correspond to the conservation of the axial angular momentum. A similar behavior may be present in any situation where large coherent structures are relevant and appear on the top of very turbulent colliding flows, as, for example, in atmospheric circulations [13], large scale currents and vortices in oceans [14], MRI instabilities and accretion disks [15][16][17], dynamo action in MHD [18,19], mixing problems [20], and industrial applications, to name a few.

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confidence: 99%

Inverse Cascades Sustained by the Transfer Rate of Angular Momentum in a 3D Turbulent Flow

López-Caballero

Burguete

2013

Phys. Rev. Lett.

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“…(15)] to modeling of the SGS stress for LES of homogeneous isotropic turbulence, assuming that both grid and test scales are within the inertial range. Similarly, Yu and Xiao [54] utilized the SGS helicity dissipation constraint [Eq.…”

Section: Joint-constraint Sgs Modelmentioning

confidence: 99%

“…[12] that the helical motion be apt to slow down the cascade of energy to small scales, and, as a result, lead to the reduction of energy decay (a mechanism invoked to interpret the formation of long-lifetime strong storms [14]). This argument was further upheld by the works of Levich and Tsinober [15] as well as Pelz et al [16], who pointed out that strong fluctuations of the local helicity might play an important part in the diminution of the energy cascade. This point of view originates from the inspection that intense helicity will result in severe reduction in the magnitude of the Lamb vector = u × ω, whose solenoidal part is responsible for the nonlinear interaction in Navier-Stokes turbulence.…”

Section: Introductionmentioning

confidence: 97%

Joint-constraint model for large-eddy simulation of helical turbulence

Xiao

Shi

et al. 2014

Phys. Rev. E

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A three-term mixed subgrid-scale (SGS) stress model is proposed for large-eddy simulation (LES) of helical turbulence. The new model includes a Smagorinsky-Lilly term, a velocity gradient term, and a symmetric vorticity gradient term. The model coefficients are determined by minimizing the mean square error between the realistic and modeled Leonard stresses under a joint constraint of kinetic energy and helicity fluxes. The model formulated as such is referred to as joint-constraint dynamic three-term model (JCD3TM). First, the new model is evaluated a priori using the direct numerical simulation (DNS) data of homogeneous isotropic turbulence with helical forcing. It is shown that the SGS dissipation fractions from all three terms in JCD3TM have the properties of length-scale invariance in inertial subrange. JCD3TM can predict the SGS stresses, energy flux, and helicity flux more accurately than the dynamic Smagorinsky model (DSM) and dynamic mixed helical model (DMHM) in both pointwise and statistical senses. Then, the performance of JCD3TM is tested a posteriori in LESs of both forced and freely decaying helical isotropic turbulence. It is found that JCD3TM possesses certain features of superiority over the other two models in predicting the energy spectrum, helicity spectrum, high-order statistics, etc. It is also noteworthy that JCD3TM is capable of simulating the evolutions of both energy and helicity spectra more precisely than other models in decaying helical turbulence. We claim that the present SGS model can capture the main helical features of turbulent motions and may serve as a useful tool for LES of helical turbulent flows.

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“…[1]- [4] и Моффата [5]- [7]. Отметим, что те-чения Бельтрами -анизотропные собственные вектор-функции оператора ротора -являются стационарными решениями уравнений Эйлера, не содержащими вязких членов.…”

Section: Introductionunclassified

Крупномасштабные Структуры Как Линии Градиента: Случай Течения Тркаля

Libin¹

2010

ТМФ

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Методами мультискейлинга на базе членов разложения типа течения Бель-трами эффективно построено асимптотическое разложение при больших числах Рейнольдса для длинноволнового возмущения нестационарного анизотропного геликального решения нефорсированного уравнения Навье-Стокса (решения Тркаля). Доказано, что систематическая асимптотическая процедура может быть проведена лишь в случае, когда параметр скейлинга равен R 1/2 . Проек-ции квазистационарных крупномасштабных линий тока на плоскость, ортого-нальную направлению анизотропии, оказываются линиями градиента функции, определяемой начальными условиями для двух модулированных (в результа-те скейлинга) анизотропных течений Бельтрами с одинаковыми собственными значениями оператора ротора, а трехмерные линии тока и линии ротора, не сов-падая, заполняют инвариантные роторно-скоростные трубки, внутри которых векторы скорости и ротора коллинеарны с точностью до членов порядка 1/R.

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On the role of helical structures in three-dimensional turbulent flow

Cited by 90 publications

References 12 publications

Inverse Cascades Sustained by the Transfer Rate of Angular Momentum in a 3D Turbulent Flow

Inverse Cascades Sustained by the Transfer Rate of Angular Momentum in a 3D Turbulent Flow

Joint-constraint model for large-eddy simulation of helical turbulence

Крупномасштабные Структуры Как Линии Градиента: Случай Течения Тркаля

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