The energy cascade as the origin of intense events in small-scale turbulence

This work presents evidence of the relation between dynamics intense events in dissipative range turbulence and energy cascade. The generalised (Hölder) means are used to construct signals that track temporal evolution enstrophy dissipation direct numerical simulations isotropic turbulence. These remarkably time-correlated with average signal, its large-scale surrogate, despite describing only a small fraction flow domain, they precede signal advancement grows their intensity scales integral time units. Interpreted from causal perspective, these results point cascade as driver range. Moreover, it is shown advancements consistent local cascade, whereby eddies proportional turnover time, causing reach before weak eddies. shed light on extreme small-scale turbulence, provide empirical support phenomenological foundations broad class intermittency models based