Kolmogorov's Theory & Turbulence

This course covers the fundamental concepts of turbulence in fluid dynamics, focusing on the Kolmogorov's theory. It provides an in-depth understanding of how to simulate hydrodynamic flow and compute energy transfer. The course further elaborates on the computation of fluxes, the Fourier transform, and the importance of energy transfer at different scales. It introduces the concept of Kolmogorov theory and the application of Discrete Fourier Transform (DFT) in computer simulations. The course also explores the formalism of the Navier-Stokes equation, the theory of flux and spectrum, and the limitations of Kolmogorov's theory. Lastly, it provides a detailed understanding of Kolmogorov's turbulence theory, its assumptions, and its limitations.