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Tenacious wall states in thermal convection in rapidly rotating containers
Journal of Fluid Mechanics ( IF 3.7 ) Pub Date : 2020-06-24 , DOI: 10.1017/jfm.2020.420
Olga Shishkina

Convection in a container, heated from below, cooled from above and rapidly rotated around a vertical axis, starts from its sidewall. When the imposed vertical temperature gradient is not sufficiently large for bulk modes to set in, thermal convection can start in the form of wall modes, which are observed near the sidewall as pairs of hot ascending and cold descending plumes that drift along the wall. With increasing temperature gradient, different wall and bulk modes occur and interact, leading finally to turbulence. A recent numerical study by Favier & Knobloch (J. Fluid Mech., 895, 2020, R1) reveals an extreme robustness of the wall states. They persist above the onset of bulk modes and turbulence, thereby relating them to the recently discovered boundary zonal flows in highly turbulent rotating thermal convection. More exciting is that the wall modes can be thought of as topologically protected states, as they are robust with respect to the sidewall shape. They stubbornly drift along the wall, following its contour, independent of geometric obstacles.

中文翻译:

快速旋转容器中热对流的坚韧壁态

容器中的对流,从下方加热,从上方冷却,并围绕垂直轴快速旋转,从其侧壁开始。当施加的垂直温度梯度不足以设置体模式时,热对流可以以壁模式的形式开始,在侧壁附近观察到成对的热上升和冷下降羽流沿着壁漂移。随着温度梯度的增加,不同的壁面和体模发生并相互作用,最终导致湍流。Favier & Knobloch (J. Fluid Mech., 895, 2020, R1) 最近的一项数值研究揭示了壁状态的极端稳健性。它们在体模式和湍流的开始之上持续存在,从而将它们与最近发现的高度湍流旋转热对流中的边界带状流联系起来。更令人兴奋的是,壁模式可以被认为是拓扑保护状态,因为它们相对于侧壁形状是鲁棒的。它们顽固地沿着墙壁漂移,跟随其轮廓,不受几何障碍的影响。
更新日期:2020-06-24
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