论文标题
泰勒（Taylor）游览：湍流大规模结构的缓慢漂移与连续对称性
Taylor rolls on tour: Slow drift of turbulent large-scale structures in flows with continuous symmetries
论文作者
论文摘要
在雷利 - 贝纳德（Rayleigh-Benard）和泰勒 - 库特（Taylor-Couette）流动池在不稳定性的发作时出现，并在湍流状态下持续存在大规模相干结构。他们的长期动态已被彻底表征和建模，以驱动对流的情况，而湍流的泰勒劳斯（Taylor Rolls）受到了较少的关注。在这里，我们介绍了轴对称泰勒 - 库特流的直接数值模拟，并随着系统尺寸的增加而显示出不连续的相位转移到时空混乱。除了这种过渡之外，泰勒劳斯（Taylor Rolls）突然经历了不稳定的漂移，以非常缓慢的时间尺度演变。我们估计了漂移的有效扩散系数，并将动力学与雷利 - 贝纳德对流和Poiseuille流动中的类似运动进行比较，这表明这种自发的大相干结构的自发扩散位移在不同类型的壁挂式涡轮端流中很常见。
In Rayleigh-Benard convection and Taylor-Couette flow cellular patterns emerge at the onset of instability and persist as large-scale coherent structures in the turbulent regime. Their long-term dynamics has been thoroughly characterised and modelled for the case of turbulent convection, whereas turbulent Taylor rolls have received much less attention. Here we present direct numerical simulations of axisymmetric Taylor-Couette flow and show a discontinuous phase-transition to spatio-temporal chaos as the system size increases. Beyond this transition, Taylor rolls suddenly undergo erratic drifts evolving on a very slow time scale. We estimate an effective diffusion coefficient for the drift and compare the dynamics to analogous motions in Rayleigh-Benard convection and Poiseuille flow, suggesting that this spontaneous diffusive displacement of large coherent structures is common among different types of wall-bounded turbulent flows.
