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Intermittency of Velocity Circulation in Quantum Turbulence [PDF]
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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Twisting vortex lines regularize Navier-Stokes turbulence. [PDF]
Sci AdvFluid flows are intrinsically characterized via the topology and dynamics of underlying vortex lines. Turbulence in common fluids like water and air, mathematically described by the incompressible Navier-Stokes equations (INSE), engenders spontaneous ...
Buaria D, Lawson JM, Wilczek M.
europepmc +3 more sources
Twisting in Hamiltonian flows and perfect fluids [PDF]
Inventiones Mathematicae, 2023 We introduce a notion of stability for non-autonomous Hamiltonian flows on two-dimensional annular surfaces. This notion of stability is designed to capture the sustained twisting of particle trajectories.
Theodore D. Drivas +2 more
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Coupling Navier-Stokes and Gross-Pitaevskii equations for the numerical simulation of two-fluid quantum flows [PDF]
Journal of Computational Physics, 2022 Numerical methods for solving the Navier-Stokes equations for classical (or normal) viscous fluids are well established. This is also the case for the Gross-Pitaevskii equation, governing quantum inviscid flows (or superfluids) in the zero temperature ...
M. Brachet +4 more
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ACM Transactions on Graphics, 2023 The vorticity-streamfunction formulation for incompressible inviscid fluids is the basis for many fluid simulation methods in computer graphics, including vortex methods, streamfunction solvers, spectral methods, and Monte Carlo methods.
Hang Yin +4 more
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Intermittency and Lower Dimensional Dissipation in Incompressible Fluids [PDF]
Archive for Rational Mechanics and Analysis, 2022 In the context of incompressible fluids, the observation that turbulent singular structures fail to be space filling is known as “intermittency”, and it has strong experimental foundations.
Luigi De Rosa, Philip Isett
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Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem [PDF]
Journal of Fluid Mechanics, 2020 The well-known energy dissipation anomaly in the inviscid limit, related to velocity singularities according to Onsager, still needs to be demonstrated by numerical experiments. The present work contributes to this topic through high-resolution numerical
Niklas Fehn +3 more
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A minimization principle for incompressible fluid mechanics
The Physics of Fluids, 2023 Most variational principles in classical mechanics are based on the principle of least action, which is only a stationary principle. In contrast, Gauss' principle of least constraint is a true minimum principle.
H. Taha, Cody Gonzalez, Mohamed Shorbagy
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Compact analogs of the models of vortex flows generated by aircraft flight
Aerospace Technic and Technology, 2023 The subject of this work is the development of compact analogs of vortex flows models, which are used in the modeling of vortex structures observed during the flight of an aircraft and the motion of a body in a fluid.
Pavlo Lukianov, L. Song
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Linear inviscid damping for shear flows near Couette in the 2D stably stratified regime [PDF]
Indiana University Mathematics Journal, 2020 We investigate the linear stability of shears near the Couette flow for a class of 2D incompressible stably stratified fluids. Our main result consists of nearly optimal decay rates for perturbations of stationary states whose velocities are monotone ...
Roberta Bianchini +2 more
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