COT An introduction to vortex flows vortices in everyday life vortices in tea cup, the tornado, vortex rings. Geometrical and Kinematical preliminaries. Laws of vortex motion. Stretching, viscous diffusion and creation of vorticity. Vortex momentum. Dynamics of Vortex filaments. Dynamics of point vortices in two dimensions The Karman Vortex street. Evolution and roll up of open and closed vortex sheets. BirkhoffRott equation. KelvinHelmholtz instability. Kaden's spiral. Dynamics of vortex patches. Controur dynamics. Starting vortex behind an airfoil. Formation of vortex rings. Structure of the trailing vortex behind the wing and vortex breakdown. Computation of vortex merging and rollup using the vortex blob method. Computation of incompressible, unsteady flows using the random vortex method. Fast vortex methods. Introduction to computation of 3 dimensional vortex flows.
- Teacher: krishna Ramakrishna M