Intermittency of Velocity Circulation in Quantum Turbulence

Müller, Nicolás P.; Polanco, Juan Ignacio; Krstulovic, Giorgio

doi:10.1103/physrevx.11.011053

Cited by 45 publications

(59 citation statements)

References 61 publications

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“…In particular, the moments of the circulation measured over fluid patches of area A ~ r 2 follow a power law of the form with scaling exponents λ p that increasingly deviate from the K41 prediction as the moment order p increases. By performing simulations of a generalised GP equation, we have shown that the anomalous scaling exponents λ p in the inertial scales of quantum turbulence closely match those observed in classical turbulence 13 . Note that, up until now, most of the advances in the understanding of intermittency have been made in terms of velocity increments.…”

Section: Introductionmentioning

confidence: 54%

“…The latter are the same as in Ref. 13 . The factor 2 in front of comes from considering the relation 〈 n 〉 ~ A ~ r 2 .…”

Section: Resultsmentioning

confidence: 94%

“…3 a, along with the moment measured for different loop areas A (data from Müller et al 13 ). At small scales, due to the discrete nature of vortices 13 . In contrast, within the inertial range, both moments clearly exhibit the expected Kolmogorov scaling.…”

Section: Resultsmentioning

confidence: 99%

“… a Circulation variance as a function of the area A of each loop and of the number n of neighbouring vortices. The dotted line represents the scaling A 1 observed at small scales of quantum turbulence 13 . b , c Moments and local slopes of as a function of according to the ESS approach, for p ∈ [2, 8].…”

Section: Resultsmentioning

confidence: 99%

“…In a recent work 13 , we have shown that the quantitative similarities between classical and quantum turbulence go far beyond the Kolmogorov energy spectrum. Indeed, both systems display the emergence of extreme events that result in the break-down of Kolmogorov’s K41 theory—a phenomenon known as intermittency.…”

Section: Introductionmentioning

confidence: 97%

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Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence

2021

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The understanding of turbulent flows is one of the biggest current challenges in physics, as no first-principles theory exists to explain their observed spatio-temporal intermittency. Turbulent flows may be regarded as an intricate collection of mutually-interacting vortices. This picture becomes accurate in quantum turbulence, which is built on tangles of discrete vortex filaments. Here, we study the statistics of velocity circulation in quantum and classical turbulence. We show that, in quantum flows, Kolmogorov turbulence emerges from the correlation of vortex orientations, while deviations—associated with intermittency—originate from their non-trivial spatial arrangement. We then link the spatial distribution of vortices in quantum turbulence to the coarse-grained energy dissipation in classical turbulence, enabling the application of existent models of classical turbulence intermittency to the quantum case. Our results provide a connection between the intermittency of quantum and classical turbulence and initiate a promising path to a better understanding of the latter.

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Section: Introductionmentioning

confidence: 54%

“…The latter are the same as in Ref. 13 . The factor 2 in front of comes from considering the relation 〈 n 〉 ~ A ~ r 2 .…”

Section: Resultsmentioning

confidence: 94%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

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Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence

2021

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Eddy-viscous modeling and the topology of extreme circulation events in three-dimensional turbulence

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Applications of the vortex-surface field to flow visualization, modelling and simulation

Yang,

Xiong,

2023

Flow

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We review the progress on the applications of the vortex-surface field (VSF). The VSF isosurface is a vortex surface consisting of vortex lines. Based on the generalized Helmholtz theorem, the VSF isosurfaces of the same threshold at different times have strong coherence. As a general flow diagnostic tool for studying vortex evolution, the numerical VSF solution is first constructed in a given flow field by solving a pseudo-transport equation driven by the instantaneous frozen vorticity, and then the VSF evolution is calculated by the two-time method. From the database of numerical simulations or experiments, the VSF can elucidate mechanisms in the flows with essential vortex dynamics, such as isotropic turbulence, wall flow transition, flow past a flapping plate and turbulence–flame interaction. The characterization of VSFs reveals the correlation between robust statistical features and the critical quantities needed to be predicted in engineering applications, such as the friction coefficient in transition, thrust in bio-propulsion and growth rate in interface instability. Since the VSF evolution captures the essential Lagrangian-based dynamics of vortical flows, it inspires novel numerical methods on cutting-edge hardware, e.g. graphic and quantum processors.

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Intermittency of Velocity Circulation in Quantum Turbulence

Cited by 45 publications

References 61 publications

Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence

Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence

Eddy-viscous modeling and the topology of extreme circulation events in three-dimensional turbulence

Applications of the vortex-surface field to flow visualization, modelling and simulation

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