论文标题
插座环的直接统计模拟
Direct Statistical Simulation of the Busse Annulus
论文作者
论文摘要
我们考虑与平均流相互作用的对流范式系统的直接统计模拟（DSS）。在布斯环形环中，模型是通过对流驱动的湍流和旋转的相互作用而产生的。可以找到非平凡的动力学，包括多种喷气机的出现和破裂的“捕食者 - 捕集”类型的动力学。我们通过以相等的累积量在平均流程周围扩展并达到累积运动方程的封闭方程来制定DSS。在这里，我们使用在第二个累积剂处终止的扩展（CE2）提出结果；从根本上讲，这是一种准线性理论。我们专注于特定情况，包括爆发和双轴多种喷气机，并证明CE2可以重现直接数值模拟的结果，如果特别注意对称考虑因素。
We consider direct statistical simulation (DSS) of a paradigm system of convection interacting with mean flows. In the Busse Annulus model zonal jets are generated through the interaction of convectively driven turbulence and rotation; non-trivial dynamics including the emergence of multiple jets and bursting `predator-prey' type dynamics can be found. We formulate the DSS by expanding around the mean flow in terms of equal-time cumulants and arrive at a closed set of equations of motion for the cumulants. Here, we present results using an expansion terminated at the second cumulant (CE2); it is fundamentally a quasi-linear theory. We focus on particular cases including bursting and bistable multiple jets and demonstrate that CE2 can reproduce the results of direct numerical simulation if particular attention is given to symmetry considerations.
