论文标题
迅速旋转的雷利 - 贝纳德对流的稳健墙状态
Robust wall states in rapidly rotating Rayleigh-Bénard convection
论文作者
论文摘要
我们显示，使用具有实验可实现的边界条件的直接数值模拟，表明在快速旋转的圆柱体中，雷利 - 贝纳德对流中的壁模式仍然距离线性发作也很远。这些非线性壁状态在散装中存在湍流的情况下生存，并且在容器边界形状的变化方面非常健壮。从这个意义上讲，这些模式的行为与二维手性系统中存在的拓扑保护状态一样，即使旋转对流是三维非线性驱动耗散系统。我们建议，这种非线性模式的鲁棒性可以为最近在较高雷利数字上快速旋转对流的模拟和实验中观察到的强层流提供了一个解释。
We show, using direct numerical simulations with experimentally realizable boundary conditions, that wall modes in Rayleigh-Bénard convection in a rapidly rotating cylinder persist even very far from their linear onset. These nonlinear wall states survive in the presence of turbulence in the bulk and are robust with respect to changes in the shape of the boundary of the container. In this sense these modes behave much like the topologically protected states present in two-dimensional chiral systems even though rotating convection is a three-dimensional nonlinear driven dissipative system. We suggest that the robustness of this nonlinear mode may provide an explanation for the strong zonal flows observed recently in simulations and experiments on rapidly rotating convection at high Rayleigh number.
