In purely axisymmetric turbulence sustained by a linear forcing mechanism, a stable, entirely poloidal flow is observed when the toroidal component of the forcing is below a threshold. We investigate using numerical simulations whether this state persists when toroidal variations of the flow are continuously reintroduced and the forcing is purely poloidal. It is shown how the pressure–strain correlation allows the redistribution of the energy towards the toroidal component. A simple statistical model allows to capture the main physical effects on the level of the global energy balance. This model is then used to investigate the stability of the poloidal state for various toroidal-to-poloidal forcing strengths and different degrees of axisymmetry.

在由线性强迫机制维持的纯轴对称湍流中，当强迫的环形分量低于阈值时，观察到稳定的完全极向流。我们使用数值模拟研究了当流动的环形变化被连续重新引入并且强迫是纯极向的时，这种状态是否持续存在。它显示了压力 - 应变相关性如何允许能量向环形组件重新分配。一个简单的统计模型可以捕捉对全球能量平衡水平的主要物理影响。然后，该模型用于研究各种环形到极向强迫强度和不同轴对称度的极向状态稳定性。