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From DNS of turbulence decaying from specified initial conditions for the range of initial Taylor-Reynolds numbers 2.58 < R{\lambda}(0) < 358.6, it was found that the shape of the iconic curve of dimensionless dissipation versus Reynolds…

流体动力学 · 物理学 2018-10-24 S. R. Yoffe , W. D. McComb

We consider here the Navier-Stokes equations in $\mathbb{R}^{3}$ with a stationary, divergence-free external force and with an additional damping term that depends on two parameters. We first study the well-posedness of weak solutions for…

偏微分方程分析 · 数学 2019-08-10 Diego Chamorro , Oscar Jarrín , Pierre-Gilles Lemarié-Rieusset

A calculational approach in fluid turbulence is presented. Use is made of the attracting nature of the fluid-dynamic dynamical system. An approach is offered that effectively propagates the statistics in time. Loss of sensitivity to an…

流体动力学 · 物理学 2010-05-18 Edsel A. Ammons

Recent work suggests unstable recurrent solutions of the equations governing fluid flow can play an important role in structuring the dynamics of turbulence. Here we present a method for detecting intervals of time where turbulence…

We consider transition to strong turbulence in an infinite fluid stirred by a gaussian random force. The transition is {\bf defined} as a first appearance of anomalous scaling of normalized moments of velocity derivatives (dissipation…

流体动力学 · 物理学 2017-08-02 Victor Yakhot , Diego Donzis

Building upon the intrinsic properties of Navier-Stokes dynamics, namely the prevalence of intense vortical structures and the interrelationship between vorticity and strain rate, we propose a simple framework to quantify the extreme events…

流体动力学 · 物理学 2022-03-14 Dhawal Buaria , Alain Pumir

The Rayleigh-Taylor instability is a key process in many fields of Physics ranging from astrophysics to inertial confinement fusion. It is usually analyzed deriving the linearized fluid equations, but the physics behind the instability is…

高能天体物理现象 · 物理学 2015-05-27 A Bret

The problem of linear instability of a nonlinear traveling wave in a canonical Hamiltonian system with translational symmetry subject to superharmonic perturbations is discussed. It is shown that exchange of stability occurs when energy is…

流体动力学 · 物理学 2019-08-09 N. Sato , M. Yamada

An original experimental setup has been elaborated in order to get a better view of turbulent flows in a von Karman geometry. The availability of a very fast camera allowed to follow in time the evolution of the flows. A surprising finding…

流体动力学 · 物理学 2017-04-27 Gilbert Zalczer

We consider the linear stability of dissipative MHD Taylor-Couette flow with imposed toroidal magnetic fields. The inner and outer cylinders can be either insulating or conducting; the inner one rotates, the outer one is stationary. The…

天体物理学 · 物理学 2009-11-11 G. Ruediger , M. Schultz , D. Shalybkov , R. Hollerbach

An efficient approach for extracting 3D local averages in spherical subdomains is proposed and applied to study the intermittency of small-scale velocity and scalar fields in direct numerical simulations of isotropic turbulence. We focus on…

流体动力学 · 物理学 2022-07-12 Dhawal Buaria , Katepalli R. Sreenivasan

Aims: To investigate the stability and angular momentum transport by the strato-rotational instability in the nonlinear regime. Methods: The hydrodynamic compressible equations are solved in a cartesian box in which the outer cylinder is…

天体物理学 · 物理学 2007-05-23 A. Brandenburg , G. Ruediger

The complex flow features resulting from the laminar-turbulent transition (LTT) in a sudden expansion pipe flow, with expansion ratio of 1:2 subjected to an inlet vortex perturbation is investigated by means of direct numerical simulations…

流体动力学 · 物理学 2022-03-15 Minh Quan Nguyen , Benoit Lebon , Mostafa Safdari Shadloo , Abdellah Hadjadj , Jorge Peixinho

We investigate coarsening dynamics in the two-dimensional, incompressible Toner-Tu equation. We show that coarsening proceeds via vortex merger events, and the dynamics crucially depend on the Reynolds number Re. For low Re, the coarsening…

流体动力学 · 物理学 2020-10-05 Navdeep Rana , Prasad Perlekar

This paper introduces a new robust formulation for local correlation-based laminar-to-turbulent transition models. This mechanism is incorporated into Reynolds-Averaged Navier-Stokes (RANS) equations, coupled with the Spalart-Allmaras (SA)…

流体动力学 · 物理学 2025-11-03 Valerio D'Alessandro , Matteo Falone , Luca Giammichele , Renato Ricci

A Taylor-Couette setup with radial heating is considered where a Boussinesq fluid is sheared in the annular region between two concentric, independently rotating cylinders maintained at different temperatures. Linear stability analysis is…

流体动力学 · 物理学 2023-08-17 Pratik Aghor , Mohammad Atif

The two-dimensional Terry-Horton equation is shown to exhibit the Dimits shift when suitably modified to capture both the nonlinear enhancement of zonal/drift-wave interactions and the existence of residual Rosenbluth-Hinton states. This…

等离子体物理 · 物理学 2017-11-15 Denis A. St-Onge

The torque in turbulent Taylor-Couette flows for shear Reynolds numbers Re_S up to 3x10^4 at various mean rotations is studied by means of direct numerical simulations for a radius ratio of \eta=0.71. Convergence of simulations is tested…

流体动力学 · 物理学 2015-06-05 Hannes Brauckmann , Bruno Eckhardt

The Misner and Sharp approach to the study of gravitational collapse is extended to the dissipative case in, both, the streaming out and the diffusion approximations. The role of different terms in the dynamical equation are analyzed in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 L. Herrera , N. O. Santos

The central result about fast rotating-flow structures is the Taylor-Proudman theorem (TPT) which connects various aspects of the dynamics. Taylor's geometrical proof of TPT is reproduced and extended substantially, with Lie's theory for…

偏微分方程分析 · 数学 2020-09-01 Jian-Zhou Zhu