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Asymptotically large Reynolds number hydrodynamic turbulence is characterized by multi-scaling of moments of velocity increments and spatial derivatives. With decreasing Reynolds number toward $R_{\lambda}=R^{tr}_{\lambda}\approx 9.0$, the…

Fluid Dynamics · Physics 2020-06-22 Victor Yakhot

We study rotating homogeneous turbulent convection forced by a mean vertical temperature gradient by means of direct numerical simulations (DNS) in the Boussinesq approximation in a rotating frame. In the absence of rotationour results are…

Fluid Dynamics · Physics 2019-10-30 Francesco Toselli , Stefano Musacchio , Guido Boffetta

Context. The one-dimensional treatment of turbulent convection had large successes until the early 2000s. However, the recent abundance and precision of observational data shows that this problem is far from solved. A modern approach should…

Solar and Stellar Astrophysics · Physics 2025-07-16 Gábor B. Kovács , R. Szabó , J. Nuspl

Context: The observations of rapidly rotating stars are increasingly detailed and precise thanks to interferometry and asteroseismology; two-dimensional models taking into account the hydrodynamics of these stars are very much needed. Aims:…

Astrophysics · Physics 2009-11-11 Michel Rieutord

We employ detailed numerical simulations to probe the mechanism of flow reversals in two-dimensional turbulent convection. We show that the reversals occur via vortex reconnection of two attracting corner rolls having same sign of…

Fluid Dynamics · Physics 2015-06-05 Mani Chandra , Mahendra K. Verma

We report the existence of two new limiting turbulent regimes in horizontal convection (HC) using direct numerical simulations at intermediate to low Prandtl numbers. The flow driven by a horizontal gradient along a horizontal surface,…

Fluid Dynamics · Physics 2020-05-01 Pierre-Yves Passaggia , Alberto Scotti , Brian L. White

A solvable turbulent model is used to predict both the structure of the boundary layer and the scaling laws in thermal convection. The transport of heat depends on the interplay between the thermal, viscous and integral scales of…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle

Flows at planetary scales are generally driven by buoyancy and influenced by rotation. Rotating Rayleigh-B\'enard convection (RRBC) is a practical and simple model that can be used to describe these systems. In RRBC, thermally induced…

Fluid Dynamics · Physics 2025-12-01 Hannah M. Clercx , Rudie P. J. Kunnen

Turbulent Rayleigh-Benard convection with phase changes in an extended layer between two parallel impermeable planes is studied by means of three-dimensional direct numerical simulations for Rayleigh numbers between 10^4 and 1.5\times 10^7…

Fluid Dynamics · Physics 2012-07-27 Thomas Weidauer , Joerg Schumacher

We present results from a numerical study of particle dispersion in the weakly nonlinear regime of Rayleigh-B\'enard convection of a fluid with Prandtl number around unity, where bi-stability between ideal straight convection rolls and weak…

Fluid Dynamics · Physics 2016-06-29 Simon Schütz , Eberhard Bodenschatz

The scaling of plate-tectonic convection is investigated by simulating thermal convection with pseudoplastic rheology and strongly temperature-dependent viscosity. The effect of mantle melting is also explored with additional…

Geophysics · Physics 2010-11-19 Jun Korenaga

We present a statistical analysis of turbulent convection in stars within our Reynolds-Averaged Navier Stokes (RANS) framework in spherical geometry which we derived from first principles. The primary results reported in this document…

Solar and Stellar Astrophysics · Physics 2014-01-22 Miroslav Mocák , Casey Meakin , Maxime Viallet , David Arnett

It is shown that helicity dynamics dominates spectral distribution of the velocity fluctuations in turbulent thermal convection at moderate and large values of the Rayleigh number (distributed chaos and scaling respectively). The…

Fluid Dynamics · Physics 2020-04-29 A. Bershadskii

Large-scale instabilities occurring in the presence of small-scale turbulent fluctuations are frequently observed in geophysical or astrophysical contexts but are difficult to reproduce in the laboratory. Using extensive numerical…

Horizontally-periodic Boussinesq Rayleigh-B\'enard Convection (RBC) is a simple model system to study the formation of large-scale structures in turbulent convective flows. We performed a suite of 2D numerical simulations of RBC between…

Solar and Stellar Astrophysics · Physics 2025-12-23 F. Kupka , D. Fabbian , F. Zaussinger , D. Krüger , L. Gizon

Many geophysical and astrophysical phenomena are driven by turbulent fluid dynamics, containing behaviors separated by tens of orders of magnitude in scale. While direct simulations have made large strides toward understanding geophysical…

Fluid Dynamics · Physics 2018-10-10 Jonathan S Cheng , Jonathan M Aurnou , Keith Julien , Rudie P J Kunnen

Supergranule aggregation, i.e., the gradual aggregation of convection cells to horizontally extended networks of flow structures, is a unique feature of constant heat flux-driven turbulent convection. In the present study, we address the…

Fluid Dynamics · Physics 2024-02-07 Philipp P. Vieweg

A simplified model for stellar and planetary convection is derived for the magnitude of the rms velocity, degree of superadiabaticity, and characteristic length scale with Rossby number as well as with thermal and viscous diffusivities.…

Solar and Stellar Astrophysics · Physics 2018-11-13 Kyle Augustson , Stéphane Mathis

We simulate numerically convection in a rectangular cell filled with an ideal gas rotating about an axis perpendicular to the direction of gravity. This configuration corresponds to an experiment with a convection cell placed in a rapidly…

Fluid Dynamics · Physics 2023-07-27 K. Lüdemann , A. Tilgner

Turbulent convection processes in nature are often found to be organized in a hierarchy of plume structures and flow patterns. The gradual aggregation of convection cells or granules to a supergranule which eventually fills the whole…

Fluid Dynamics · Physics 2021-03-16 Philipp P. Vieweg , Janet D. Scheel , Jörg Schumacher