Large-Scale Structure Formation by Turbulent Kinetic Helicity

Explore a comprehensive lecture on large-scale structure formation through turbulent kinetic helicity, delivered by Dr. Nobumitsu Yokoi from the University of Tokyo. Dive into the complex relationship between velocity and vorticity in turbulent systems, examining how kinetic helicity serves as a measure of mirror-symmetry breakage and provides crucial structural information about turbulence. Learn about the multiple-scale renormalised perturbation expansion theory and its application to inhomogeneous rotating turbulence, including detailed analysis of Reynolds stress and vortex-motive force derivations. Examine practical applications through case studies of turbulent swirling flow in pipes and direct numerical simulations of rotating box turbulence. Discover potential applications in geophysical and astrophysical turbulent flows, along with proposals for subgrid-scale turbulence modeling that incorporates structural effects through SGS turbulent helicity.