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Pattern formation in Rayleigh-Benard convection in a large-aspect-ratio cylinder with a radial ramp in the plate separation is studied analytically and numerically by performing numerical simulations of the Boussinesq equations. A…

斑图形成与孤子 · 物理学 2009-11-07 M. R. Paul , M. C. Cross , P. F. Fischer

We study rapidly-rotating Boussinesq convection driven by internal heating in a full sphere. We use a numerical model based on the quasi-geostrophic approximation for the velocity field, whereas the temperature field is three-dimensional.…

流体动力学 · 物理学 2017-09-05 Céline Guervilly , Philippe Cardin

The dynamics of Rayleigh-Taylor turbulence convection in presence of an alternating, time periodic acceleration is studied by means of extensive direct numerical simulations of the Boussinesq equations. Within this framework, we discover a…

流体动力学 · 物理学 2019-03-27 G. Boffetta , M. Magnani , S. Musacchio

Numerical simulation studies in 2D with the addition of noise are reported for the convection of a supercritical fluid,3He, in a Rayleigh-Be'nard cell where the fluid parameters and cell height L are the same as in published laboratory…

流体动力学 · 物理学 2009-11-10 Akira Furukawa , Horst Meyer , Akira Onuki

We consider three-dimensional (3D) Boussinesq convection system of an incompressible fluid in a closed sample of a porous medium. Specifically, we introduce and analyze a 3D Brinkman-Forchheimer-B\'enard convection problem describing the…

偏微分方程分析 · 数学 2022-04-08 Edriss S. Titi , Saber Trabelsi

Transition from steady to oscillatory buoyancy convection of air in a laterally heated cubic box is studied numerically by straight-forward time integration of Boussinesq equations using a series of gradually refined finite volume grids.…

流体动力学 · 物理学 2017-04-28 Alexander Gelfgat

Based on direct numerical simulations and symmetry arguments, we show that the large-scale Fourier modes are useful tools to describe the flow structures and dynamics of flow reversals in Rayleigh-B\'enard convection (RBC). We observe that…

混沌动力学 · 物理学 2015-05-27 Mani Chandra , Mahendra K. Verma

The coarsening and wavenumber selection of striped states growing from random initial conditions are studied in a non-relaxational, spatially extended, and far-from-equilibrium system by performing large-scale numerical simulations of…

斑图形成与孤子 · 物理学 2009-11-10 M. R. Paul , K-H. Chiam , M. C. Cross , P. F. Fischer

We present high resolution numerical simulations of convection in multiphase flows (boiling) using a novel algorithm based on a Lattice Boltzmann method. We first validate the thermodynamical and kinematical properties of the algorithm.…

流体动力学 · 物理学 2015-06-03 L. Biferale , P. Perlekar , M. Sbragaglia , F. Toschi

A new numerical finite difference code has been developed to solve a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell. A kind of the overset (Chimera) grid named ``Yin-Yang grid''…

地球物理 · 物理学 2015-06-26 Masaki Yoshida , Akira Kageyama

We present a new hydrodynamic model for incompressible binary fluids that is thermodynamically consistent and non-isothermal. This model follows the generalized Onsager principle and Boussinesq approximation and preserves the volume of each…

流体动力学 · 物理学 2023-08-14 Shouwen Sun , Liangliang Lei , Qi Wang

Turbulent thermal convection governs heat transport in systems ranging from stellar interiors to industrial heat exchangers. Two-dimensional Rayleigh-B\'enard convection serves as a paradigm for these flows, reproducing key features such as…

We consider stability of steady convective flows in a horizontal layer with stress-free boundaries, heated below and rotating about the vertical axis, in the Boussinesq approximation (the Rayleigh-Benard convection). The flows under…

流体动力学 · 物理学 2015-06-26 O. M. Podvigina

We consider axisymmetric Boussinesq convection in a shallow cylinder radius, L, and depth, H (<< L), which rotates with angular velocity $\Omega$ about its axis of symmetry aligned to the vertical. Constant heat flux boundary conditions,…

流体动力学 · 物理学 2022-09-21 A M Soward , L Oruba , E Dormy

Melting and, conversely, solidification processes in the presence of convection are key to many geophysical problems. An essential question related to these phenomena concerns the estimation of the (time-evolving) melting rate, which is…

流体动力学 · 物理学 2018-05-23 Babak Rabbanipour Esfahani , Silvia C. Hirata , Stefano Berti , Enrico Calzavarini

We present a numerical study of convection in a horizontal layer comprising a fluid-saturated porous bed overlain by an unconfined fluid layer. Convection is driven by a vertical, destabilising temperature difference applied across the…

流体动力学 · 物理学 2021-07-07 Thomas Le Reun , Duncan R. Hewitt

We investigate the dynamics of a fluid layer subject to an imposed bottom heat flux and a top monotonically-increasing temperature profile driving horizontal convection. We use direct numerical simulations and consider a large range of…

流体动力学 · 物理学 2022-07-14 Louis-Alexandre Couston , Joseph Nandaha , Benjamin Favier

Rayleigh-Taylor (RT) instability commonly arises in compressible systems with time-dependent acceleration in practical applications. To capture the complex dynamics of such systems, a two-component discrete Boltzmann method is developed to…

流体动力学 · 物理学 2025-04-08 Huilin Lai , Chuandong Lin , Hao Xu , Hailong Liu , Demei Li , Bailing Chen

The structure of the boundary layers in turbulent Rayleigh-Benard convection is studied by means of three-dimensional direct numerical simulations. We consider convection in a cylindrical cell at an aspect ratio one for Rayleigh numbers of…

流体动力学 · 物理学 2012-09-04 Nan Shi , Mohammad S. Emran , Joerg Schumacher

A series of numerical simulations of Rayleigh-B{\'e}nard convection in a cubic cavity are conducted in order to examine the structure of the thermal boundary layer in case of mixed boundary conditions. The main goal of the study is the…

流体动力学 · 物理学 2020-10-29 Andrei Sukhanovskii , Andrei Vasiliev