Textbook in PDF format

This book includes chapters covering new vortex theories, vortex identification methods, and vortex simulation and applications. Vortices are ubiquitous in the universe and include tornados, hurricanes, airplane tip vortices, polar vortices, and even star vortices in the galaxy. Vortices are also building blocks, muscles, and sinews of turbulent flows. This book is useful for researchers in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, and more. It is also useful for research on the generation, sustenance, modeling, and controlling of turbulence.
Periodic Navier Stokes Equations for a 3D Incompressible Fluid with Liutex Vortex Identification Method
Mass Flux in Corkscrew Flow Vortices in the Venus Plasma Wake
Magnetic Skyrmions and Quasi Particles: A Review on Principles and Applications
Identification of Trailing Vortex Dynamic States
Numerical Simulation of Energy Cascading in Turbulent Flows Using Sabra Shell Model
Algorithm to Generate Liutex Core Lines Based on Forward Liutex Magnitude Gradient Lines