Abstract
In Burgers turbulence driven by an Ornstein-Uhlenbeck process, for which the characteristic time scale is much larger than the characteristic time scale of energy transfer, we find the spatial-temporal third-order structure function follows a separation-of-variables form: the spatial dependence follows the classic results calculated from the Karman-Howarth-Monin equation, and the temporal dependence is determined by the temporal correlation of the Ornstein-Uhlenbeck process. This result confirms the forcing dependence of the spatial-temporal structure function and provides an intuitive way of analyzing sparsely measured spatial-temporal turbulence data.
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