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Related papers: A Simple System for Moist Convection: the Rainy-Be…

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A Rayleigh B\'enard instability study using the energy conserving dissipative particle dynamics method is presented here for the first time. The simulation is performed on an ideal dissipative particle dynamics fluid in a three dimensional…

Statistical Mechanics · Physics 2012-01-19 Anuj Chaudhri , Jennifer R. Lukes

Gravity-driven convection of fluid at parameters near its thermodynamic critical point inside a porous layer heated from below (Rayleigh-Darcy convection) is studied. The fluid having the temperature slightly above the critical one is…

Fluid Dynamics · Physics 2010-01-26 E. B. Soboleva

The evolution of three-dimensional, cellular convective flows in a plane horizontal layer of a Boussinesq fluid heated from below is well studied. Here we review results from the investigation of this system as well as a number of related…

Fluid Dynamics · Physics 2010-11-22 Zhe Wu

The convective instability in a plane liquid layer with time-dependent temperature profile is investigated by means of a general method suitable for linear stability analysis of an unsteady basic flow. The method is based on a non-normal…

Fluid Dynamics · Physics 2015-05-14 F. Doumenc , T. Boeck , B. Guerrier , M. Rossi

Convection is a fundamental fluid transport phenomenon, where the large-scale motion of a fluid is driven, for example, by a thermal gradient or an electric potential. Modeling convection has given rise to the development of chaos theory…

Computational Physics · Physics 2021-08-17 Yifei Guan , Steven L. Brunton , Igor Novosselov

We introduce a low Mach number model for moist atmospheric flows that accurately incorporates reversible moist processes in flows whose features of interest occur on advective rather than acoustic time scales. Total water is used as a…

Atmospheric and Oceanic Physics · Physics 2015-05-08 Max Duarte , Ann Almgren , John Bell

By virtue of Rayleigh-Benard convection, we illustrate the advantages of combining a hydrodynamic pattern forming instability with a thermodynamic critical point. This has already lead to many novel unexpected observations and is further…

patt-sol · Physics 2008-02-03 Michel Assenheimer , Victor Steinberg

Rayleigh--B\'enard convection, which is the buoyancy-induced motion of a fluid enclosed between two horizontal plates, is an idealised setup to study thermal convection. We analyse the modes that transport the most heat between the plates…

Fluid Dynamics · Physics 2015-10-26 Johannes Lülff

The micropolar Rayleigh-B{\'e}nard convection system, which consists of Navier-Stokes equations, the angular momentum equation, and the heat equation, is a strongly nonlinear, coupled, and saddle point structural multiphysics system. A…

Numerical Analysis · Mathematics 2025-12-03 Ming Cui , Akang Hou , Xiaoyu Dong

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…

Fluid Dynamics · Physics 2022-01-10 Baole Wen , David Goluskin , Charles R. Doering

We investigate theoretically the nonlinear state of ideal straight rolls in the Rayleigh-B\'enard system of a fluid layer heated from below with a porous medium using a Galerkin method. Applying the Oberbeck-Boussinesq approximation, binary…

Fluid Dynamics · Physics 2015-05-14 Rudolf Umla , Matthias Augustin , Bjoern Huke , Manfred Luecke

Natural convection is ubiquitous throughout the physical sciences and engineering, yet many of its important properties remain elusive. To study convection in a novel context, we derive and solve a quasilinear form of the Rayleigh-B\'enard…

Fluid Dynamics · Physics 2024-02-29 Liam O'Connor , Daniel Lecoanet , Evan H. Anders

Buoyancy-induced (Rayleigh-Benard) convection of a fluid between two horizontal plates is a central paradigm for studying the transition to complex spatiotemporal dynamics in sustained nonequilibrium systems. To improve the analysis of…

Pattern Formation and Solitons · Physics 2007-05-23 M. C. Lai , K. H. Chiam , M. C. Cross , H. S. Greenside

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

We present mesoscale numerical simulations of Rayleigh-B\'enard (RB) convection in a two-dimensional model emulsion. The systems under study are constituted of finite-size droplets, whose concentration Phi_0 is systematically varied from…

The non-hydrostatic, quasigeostrophic approximation for rapidly rotating Rayleigh-B\'enard convection admits a class of exact `single mode' solutions. These solutions correspond to steady laminar convection with a separable structure…

Fluid Dynamics · Physics 2015-06-03 Ian Grooms

A pure and incompressible material is confined between two plates such that it is heated from below and cooled from above. When its melting temperature is comprised between these two imposed temperatures, an interface separating liquid and…

Fluid Dynamics · Physics 2020-02-11 Jhaswantsing Purseed , Benjamin Favier , Laurent Duchemin , Eric W. Hester

We numerically investigate turbulent Rayleigh-B\'enard convection with gas bubbles attached to the hot plate, mimicking a core feature in electrolysis, catalysis, or boiling. The existence of bubbles on the plate reduces the global heat…

Fluid Dynamics · Physics 2022-08-17 Hao-Ran Liu , Kai Leong Chong , Rui Yang , Roberto Verzicco , Detlef Lohse

The main objective of this article is part of a research program to link the dynamics of fluid flows with the structure and its transitions in the physical spaces. As a prototype of problem and to demonstrate the main ideas, we study the…

Analysis of PDEs · Mathematics 2010-05-14 Tian Ma , Shouhong Wang

Rayleigh-Benard convection (RBC) is a canonical system for buoyancy-driven turbulence and heat transport, central to geophysical and industrial flows. Developing efficient control strategies remains challenging at high Rayleigh numbers,…

Fluid Dynamics · Physics 2026-03-12 Qiwei Chen , C. Ricardo Constante-Amores