Bistability of the large-scale dynamics in quasi-two-dimensional turbulence
arXiv:2201.00278 · doi:10.1017/jfm.2022.209
Abstract
In many geophysical and astrophysical flows, suppression of fluctuations along one direction of the flow drives a quasi-2D upscale flux of kinetic energy, leading to the formation of strong vortex condensates at the largest scales. Recent studies have shown that the transition towards this condensate state is hysteretic, giving rise to a limited bistable range in which both the condensate state as well as the regular 3D state can exist at the same parameter values. In this work, we use direct numerical simulations of thin-layer flow to investigate whether this bistable range survives as the domain size and turbulence intensity are increased. By studying the time scales at which rare transitions occur from one state into the other, we find that the bistable range grows as the box size and/or Reynolds number Re are increased, showing that the bistability is neither a finite-size nor a finite-Re effect. We furthermore predict a crossover from a bimodal regime at low box size, low Re to a regime of pure hysteresis at high box size, high Re, in which any transition from one state to the other is prohibited at any finite time scale.
arXiv comment10 pages, 4 figures
References in corpus (29)
- Cascades and transitions in turbulent flows
- Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
- Inverse cascade and symmetry breaking in rapidly-rotating Boussinesq convection
- Large-scale vortices in rapidly rotating Rayleigh-Bénard convection
- Coherent structures and extreme events in rotating multiphase turbulent flows
- A rare event algorithm links transitions in turbulent flows with activated nucleations
- Geophysical turbulence and the duality of the energy flow across scales
- On the 2D behavior of 3D MHD with a strong guiding field
- Critical Transitions in Thin Layer Turbulence
- Anisotropic energy transfers in quasi-static magnetohydrodynamic turbulence
- Condensates in rotating turbulent flows
- Large-scale anisotropy in stably stratified rotating flows
- Rotating Taylor-Green Flow
- Subcritical turbulent condensate in rapidly rotating Rayleigh-Bénard convection
- Extreme fluctuations and the finite lifetime of the turbulent state
- Computing return times or return periods with rare event algorithms
- Condensates in thin-layer turbulence
- Split energy cascade in turbulent thin fluid layers
- Frictional boundary layer effect on vortex condensation in rotating turbulent convection
- Critical transition in fast-rotating turbulence within highly elongated domains
- Hysteretic behavior between quasi-two-dimensional flow and three-dimensional flow in forced rotating turbulence
- Extreme events in transitional turbulence
- On the two-dimensionalization of quasistatic magnetohydrodynamic turbulence
- Inverse and direct energy cascades in 3D MHD turbulence at low-Rm
- Discontinuous Transitions Towards Vortex Condensates in Buoyancy-Driven Rotating Turbulence
- Rare transitions to thin-layer turbulent condensates
- Do extreme events trigger turbulence decay? - a numerical study of turbulence decay time in pipe flows
- Role of the forcing dimensionality in thin-layer turbulent energy cascades
- Method to measure efficiently rare fluctuations of turbulence intensity for turbulent-laminar transitions in pipe flows