Abstract It is illustrated that a sharply truncated initial kinetic energy spectrum evolves to a staircase-shaped spectrum at short times. This effect is directly associated with the triadic nature of the energy transfer. A rigorous analysis leads to predictions on the time-dependence of this effect, and these predictions are verified by both direct numerical simulations and eddy-damped quasi-normal Markovian closure integrations.

中文翻译：

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湍流中短时能量传递的阶梯缩放

摘要 说明了急剧截断的初始动能谱在短时间内演化为阶梯形谱。这种效应与能量转移的三元性质直接相关。严格的分析导致对这种效应的时间依赖性的预测，这些预测通过直接数值模拟和涡流阻尼准正态马尔可夫闭包积分得到验证。