Intermittency of Velocity Circulation in Quantum Turbulence
Physical Review X, 2021 The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation is quantized,
Nicolás P. Müller +2 more
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Vortex simulations of the Rayleigh–Taylor instability [PDF]
, 1980 A vortex technique capable of calculating the Rayleigh–Taylor instability to large amplitudes in inviscid, incompressible, layered flows is introduced. The results show the formation of a steady‐state bubble at large times, whose velocity is in agreement
Baker, Gregory R. +2 more
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On Lagrangian and vortex-surface fields for flows with Taylor–Green and Kida–Pelz initial conditions [PDF]
, 2010 For a strictly inviscid barotropic flow with conservative body forces, the Helmholtz vorticity theorem shows that material or Lagrangian surfaces which are vortex surfaces at time t = 0 remain so for t > 0.
Pullin, D. I., Yang, Yue
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Stability and Interaction of Vortices in Two-Dimensional Viscous Flows [PDF]
, 2012 The aim of these notes is to present in a comprehensive and relatively self-contained way some recent developments in the mathematical analysis of two-dimensional viscous flows.
null null, Thierry Gallay
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Planar inviscid flows in a channel of finite length : washout, trapping and self-oscillations of vorticity [PDF]
, 2010 The paper addresses the nonlinear dynamics of planar inviscid incompressible flows in the straight channel of a finite length. Our attention is focused on the effects of boundary conditions on vorticity dynamics.
Govorukhin, V. N. +2 more
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The Rayleigh–Taylor instability of two-dimensional high-density vortices [PDF]
, 2005 We investigate the stability of variable-density two-dimensional isolated vortices in the frame of incompressible mixing under negligible gravity. The focus on a single vortex flow stands as a first step towards vortex interactions and turbulent mixing ...
Chassaing, Patrick +2 more
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Evolution of vortex-surface fields in viscous Taylor-Green and Kida-Pelz flows [PDF]
, 2011 In order to investigate continuous vortex dynamics based on a Lagrangian-like formulation, we develop a theoretical framework and a numerical method for computation of the evolution of a vortex-surface field (VSF) in viscous incompressible flows with ...
Pullin, D. I., Yang, Yue
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Vortex shedding in a two-dimensional diffuser: theory and simulation of separation control by periodic mass injection [PDF]
, 2004 We develop a reduced-order model for large-scale unsteadiness (vortex shedding) in a two-dimensional diffuser and use the model to show how periodic mass injection near the separation point reduces stagnation pressure loss.
Colonius, Tim +2 more
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Vortex Stretching and Reconnection in a Compressible Fluid
, 2005 Vortex stretching in a compressible fluid is considered. Two-dimensional and axisymmetric cases are considered separately. The flows associated with the vortices are perpendicular to the plane of the uniform straining flows.
Shivamoggi, Bhimsen K.
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Vortex dynamics in turbulence [PDF]
, 1998 We survey attempts to construct vortex models of the inertial-range and fine-scale range of high Reynolds number turbulence.
Pullin, D. I., Saffman, P. G.
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