Research

Scale space dynamics

The complexity of turbulence arises from the intricacies of energy exchange among different scales of motion (non-linearity effects) and the nearly intractable interactions between different regions of the flow (non-locality effects). Real-world turbulent flows are nearly always inhomogeneous featuring exponential instabilities and often spectral representation is not valid. The need to develop a mathematical framework for describing scale-to-scale energy transfer and multi-point interactions led to several formulations.