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We present high-resolution numerical investigations of heat transport by two-dimensional (2D) turbulent Rayleigh-B\'{e}nard (RB) convection over the Rayleigh number range $10^8 \leqslant Ra\leqslant 10^{10}$ and the Prandtl number range…

流体动力学 · 物理学 2015-06-17 Yong-Xiang Huang , Quan Zhou

Quasi-static Rayleigh-B\'enard convection with an imposed horizontal magnetic field is investigated numerically for Chandrasekhar numbers up to $Q=10^6$ with stress free boundary conditions. Both $Q$ and the Rayleigh number ($Ra$) are…

流体动力学 · 物理学 2023-10-11 Michael A. Calkins , Talal AlRefae , Angel Hernandez , Ming Yan , Stefano Maffei

We numerically simulate three-dimensional Rayleigh-B\'enard convection, the flow in a fluid layer heated from below and cooled from above, with inhomogeneous temperature boundary conditions to explore two distinct regimes described in…

流体动力学 · 物理学 2020-10-28 Rodolfo Ostilla-Monico , Amit Amritkar

We report an experimental investigation of turbulent Rayleigh-Benard convection in a rectangular cell of large aspect ratio ($\Gamma = 10$) over the Rayleigh number range $5.4\times10^7 \le Ra \le 7.2\times10^9$ and Prandtl number range…

流体动力学 · 物理学 2026-02-23 Yi-Zhen Li , Jun-Jie Huo , Xin Chen , Heng-Dong Xi

We adopt the stretched spiral vortex sub-grid model for large-eddy simulation (LES) of turbulent convection at extreme Rayleigh numbers. We simulate Rayleigh-B\'enard convection (RBC) for Rayleigh numbers ranging from $10^6$ to $10^15$ and…

流体动力学 · 物理学 2024-06-12 Roshan Samuel , Ravi Samtaney , Mahendra K. Verma

We have developed a multidimensional radiation hydrodynamics code to simulate the interaction of radial stellar pulsation and convection for full amplitude pulsating models. Convection is computed using large eddy simulations. Here we…

太阳与恒星天体物理 · 物理学 2014-03-05 Christopher M. Geroux , Robert G. Deupree

We report the results of high resolution direct numerical simulations of two-dimensional Rayleigh-B\'enard convection for Rayleigh numbers up to $\Ra=10^{10}$ in order to study the influence of temperature boundary conditions on turbulent…

流体动力学 · 物理学 2009-11-13 Hans Johnston , Charles R. Doering

A model for three-dimensional Rayleigh-B\'{e}nard convection in low-Prandtl-number fluids near onset with rigid horizontal boundaries in the presence of a uniform vertical magnetic field is constructed and analyzed in detail. The kinetic…

流体动力学 · 物理学 2015-10-28 Arnab Basak , Krishna Kumar

We numerically investigate the structures of the near-plate temperature profiles close to the bottom and top plates of turbulent Rayleigh-B\'{e}nard flow in a cylindrical sample at Rayleigh numbers Ra=10^8 to Ra=2\times10^{12} and Prandtl…

We perform a numerical study of the heat transfer and flow structure of Rayleigh-B\'enard (RB) convection in (in most cases regular) porous media, which are comprised of circular, solid obstacles located on a square lattice. This study is…

We simulate thermal convection in a two-dimensional square box using the no-slip condition on all boundaries, and isothermal bottom and top walls and adiabatic sidewalls. We choose 0.1 and 1 for the Prandtl number $Pr$ and vary the Rayleigh…

流体动力学 · 物理学 2025-07-23 Ambrish Pandey , Katepalli R. Sreenivasan

Planetary and stellar convection, which are compressible and turbulent, remain poorly understood. In this paper, we report numerical results on the scaling of Nusselt number ($\mathrm{Nu}$) and Reynolds number ($\mathrm{Re}$) for extreme…

流体动力学 · 物理学 2025-02-06 Harshit Tiwari , Mahendra K. Verma

Here we summarize the results from our direct numerical simulations (DNS) and experimental measurements on rotating Rayleigh-B\'enard (RB) convection. Our experiments and simulations are performed in cylindrical samples with an aspect ratio…

流体动力学 · 物理学 2013-06-21 Richard J. A. M. Stevens , Herman Clercx , Detlef Lohse

We report the observation of superstructures, i.e.\ very large-scale and long living coherent structures in highly turbulent Rayleigh-B\'enard convection up to Rayleigh $Ra=10^9$. We perform direct numerical simulations in horizontally…

流体动力学 · 物理学 2018-04-09 Richard J. A. M. Stevens , Alexander Blass , Xiaojue Zhu , Roberto Verzicco , Detlef Lohse

A Rayleigh-B\'enard cell has been designed to explore the Prandtl (Pr) dependence of turbulent convection in the cross-over range $0.7<Pr<21$ and for the full range of soft and hard turbulences, up to Rayleigh number $Ra\simeq 10^{11}$. The…

凝聚态物理 · 物理学 2009-11-10 P. -E. Roche , B. Castaing , B. Chabaud , B. Hebral

The central open question about Rayleigh--B\'enard convection -- buoyancy-driven flow in a fluid layer heated from below and cooled from above -- is how vertical heat flux depends on the imposed temperature gradient in the strongly…

流体动力学 · 物理学 2022-01-10 Baole Wen , David Goluskin , Charles R. Doering

Heat transport in highly turbulent convection is not well understood. In this paper, we simulate compressible convection in a box of aspect ratio 4 using computationally-efficient MacCormack-TVD finite difference method on single and…

流体动力学 · 物理学 2024-11-18 Harshit Tiwari , Lekha Sharma , Mahendra K. Verma

We numerically investigate turbulent Rayleigh-B\'enard convection within two immiscible fluid layers, aiming to understand how the layer thickness and fluid properties affect the heat transfer (characterized by the Nusselt number $Nu$) in…

流体动力学 · 物理学 2022-05-24 Hao-Ran Liu , Kai Leong Chong , Rui Yang , Roberto Verzicco , Detlef Lohse

We study penetrative convection of a fluid confined between two horizontal plates, the temperatures of which are such that a temperature of maximum density lies between them. The range of Rayleigh numbers studied is $Ra = \left[10^6, 10^8…

流体动力学 · 物理学 2019-09-10 Srikanth Toppaladoddi , J. S. Wettlaufer

The corner roll (CR) in the Rayleigh-B\'{e}nard (RB) convection accounts for the behaviors of heat transport and convection flow at the corner. Streamlines of the three-dimensional direct numerical simulations for $10^8<Ra<5\times10^9$ show…

流体动力学 · 物理学 2019-10-08 Wen-Feng Zhou , Jun Chen