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In this article, we present a bifurcation analysis on the double-diffusive convection. Two pattern selections, rectangles and squares, are investigated. It is proved that there are two different types of attractor bifurcations depending on…

斑图形成与孤子 · 物理学 2010-05-14 Chun-Hsiung Hsia , Tian Ma , Shouhong Wang

Onset of double-component convection due to different boundary conditions is studied in a diversely oriented infinite slot with broken reflection symmetry between the slot conditions for a component. Among other outcomes, the broken…

流体动力学 · 物理学 2015-03-19 N. Tsitverblit

The problem of convective instability onset in a horizontal porous channel is explored. The channel's impermeable walls are heated with asymmetric thermal conditions modelled through unequal, but uniform, wall heat fluxes. A stationary…

流体动力学 · 物理学 2025-08-22 A. Barletta , M. Celli , P. V. Brandão

We use direct numerical simulations to study convection in rotating Rayleigh-B\'enard convection in horizontally confined geometries of a given aspect ratio, with the walls held at fixed temperatures. We show that this arrangement is…

流体动力学 · 物理学 2024-11-05 S. Ravichandran , J. S. Wettlaufer

We use lattice Boltzmann simulations to study the effect of shear on the phase ordering of a two-dimensional binary fluid. The shear is imposed by generalising the lattice Boltzmann algorithm to include Lees-Edwards boundary conditions. We…

软凝聚态物质 · 物理学 2009-10-31 A. J. Wagner , J. M. Yeomans

Previous numerical investigations of the stability and bifurcation properties of different nonlinear combination structures of spiral vortices in a counterrotating Taylor-Couette system that were done for fixed axial wavelengths are…

斑图形成与孤子 · 物理学 2008-07-19 A. Pinter , M. Lücke , Ch. Hoffmann

We describe a numerical procedure to construct a modified velocity field that does not have any mean flow. Using this procedure, we present two results. Firstly, we show that, in the absence of mean flow, spiral defect chaos collapses to a…

斑图形成与孤子 · 物理学 2009-11-07 K. -H. Chiam , M. R. Paul , M. C. Cross , H. S. Greenside

The structural properties of additive binary hard-sphere mixtures are addressed as a follow-up of a previous paper [S. Pieprzyk et al., Phys. Rev. E 101, 012117 (2020)]. The so-called rational-function approximation method and an approach…

We assess experimentally the scaling laws that characterize the mixing region produced by the Rayleigh-Taylor instability in a confined porous medium. In particular, we wish to assess experimentally the existence of a superlinear scaling…

流体动力学 · 物理学 2024-08-02 Marco De Paoli , Diego Perissutti , Cristian Marchioli , Alfredo Soldati

A biconcave particle suspended in a Poiseuille flow is investigated by the multiple-relaxation-time lattice Boltzmann method with the Galilean-invariant momentum exchange method. The lateral migration and equilibrium of the particle are…

计算物理 · 物理学 2013-03-06 Wen Bing-Hai , Chen Yan-Yan , Zhang Ren-Liang , Zhang Chao-Ying , Fang Hai-Ping

A sequence of three steady - oscillatory transitions of buoyancy convection of air in a laterally heated cube with perfectly thermally insulated horizontal and spanwise boundaries is studied. The problem is treated by Newton and Arnoldi…

流体动力学 · 物理学 2022-10-18 Alexander Gelfgat

The stability of a long cylindrical domain in a phase-separating binary fluid in an external shear flow is investigated by linear stability analysis. Using the coupled Cahn-Hilliard and Stokes equations, the stability eigenvalues are…

统计力学 · 物理学 2009-10-31 Amalie Frischknecht

We present an experimental investigation of the dynamics and flow-coupling of convective turbulent flows in a cylindrical Rayleigh-Benard convection cell with two immiscible fluids, water and fluorinert FC-77 electronic liquid (FC77). It is…

流体动力学 · 物理学 2015-11-17 Yi-Chao Xie , Ke-Qing Xia

In a set of experiments, Couder et. al. demonstrate that an oscillating fluid bed may propagate a bouncing droplet through the guidance of the surface waves. We present a dynamical systems model, in the form of an iterative map, for a…

混沌动力学 · 物理学 2015-06-04 David Shirokoff

We investigate oscillatory instability and routes to chaos in Rayleigh-B\'enard convection of electrically conducting fluids in presence of external horizontal magnetic field. Three dimensional direct numerical simulations (DNS) of the…

流体动力学 · 物理学 2015-10-20 Yada Nandukumar , Pinaki Pal

We study by a combination of analytical and numerical methods multidimensional stability and transverse bifurcation of planar hydraulic shock and roll wave solutions of the inviscid Saint Venant equations for inclined shallow-water flow,…

偏微分方程分析 · 数学 2023-10-24 Zhao Yang , Kevin Zumbrun

Using direct numerical simulations, we study rotating Rayleigh-B\'enard convection in a cylindrical cell for a broad range of Rayleigh, Ekman, and Prandtl numbers from the onset of wall modes to the geostrophic regime, an extremely…

流体动力学 · 物理学 2021-09-14 Robert E. Ecke , Xuan Zhang , Olga Shishkina

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

A suspension of swimming microorganisms often generates a large-scale convective pattern known as bioconvection. In contrast to the thermal Rayleigh-Benard system, recent experimental studies report an emergence of steady localized…

流体动力学 · 物理学 2024-06-25 Yoshiki Hiruta , Kenta Ishimoto

We present a numerical study of a generalized two-dimensional Swift-Hohenberg model of spiral pattern formation in Rayleigh-B\'enard convection in a non-Boussinesq fluid. We demonstrate for the first time that a model for convective motion…

凝聚态物理 · 物理学 2008-12-24 Hao-wen Xi , J. D. Gunton , Jorge Vinals