Zero-Prandtl-number convection
Zero-Prandtl-number convection
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DOI：
10.1017/s0022112092000089
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发表时间：
1992-07
影响因子：
3.7
通讯作者：
O. Thual
中科院分区：
文献类型：
--
作者：
O. Thual
通过数值模拟，比较了Oberbeck-Boussinesq方程的零Prandtl数极限与小Prandtl数Rayleigh-Bénard对流。同时考虑了施加在小长宽比水平周期箱体顶部和底部的无滑移和自由滑移边界条件。随着瑞利数的增加，观察到了丰富多样的区域：不同长宽比的超临界振荡不稳定性，二维滚子、正方形和六角形图形之间的竞争，行波和驻波之间的竞争，向混沌的转变，以及第一个瑞利数十年的标度律。这种多样性可以归因于零普朗特数的定态不稳定性和振荡型不稳定性之间的密切相互作用。
The zero-Prandtl-number limit of the Oberbeck—Boussinesq equations is compared to small-Prandtl-number Rayleigh—Bénard convection through numerical simulations. Both no-slip and free-slip boundary conditions, imposed at the top and bottom of a small-aspect-ratio, horizontally periodic box are considered. A rich variety of regimes is observed as the Rayleigh number is increased: supercritical oscillatory instabilities for various values of the aspect ratios, competition between two-dimensional rolls, squares and hexagonal patterns, competition between travelling and standing waves, transition to chaos, and scalings laws for the first Rayleigh-number decade. This multiplicity of regimes can be attributed to the close interaction between the stationary and oscillatory instabilities at zero Prandtl number.