Three kinds of two-time-scale turbulence models in the literature are analyzed from the point of view of the selection of the partitioning wave nUmber, and Kim model is found to be the most reasonable.

The application effect of two-time-scale turbulence models to complex turbulent flows is analyzed, and the concept of two-time-scale is integrated with a non--linear Reynolds stress-strain expression.

A novel two time-scale simulation-based gradient algorithm based on performance potential for discrete time Markov decision process was proposed, by introducing the concept of two time-scale into the performance potential based stochastic approximation.

The approximate expressions of the nth-order main frequency and the displacement of the nonlinear vibration system with one side fixed and other side being free are obtained by the method of multiple time scales.

Spatial simulation of the responses of species extinction to human-caused habitat destruction at different time scales;

Analysis of ecological health status at time scale in sandy area;

Derivation and validation of watershed coupled water-energy balance equation at arbitrary time scale;