I will discuss the motivation of using computational fluid dynamics to conduct a stability analysis of flow. Linear, non-linear and optimum optimization problems related to stability analysis will be discussed with some applications. Special attention will be given to the stability analysis of (i) the Batchelor vortex (swirling jet type) used to model the trailing vortex of aircraft and (ii) the helical vortex generated at the tip of a rotating blade. The self-similarity of the 3D helical vortex will be investigated. Then, the results of the stability analysis of the perturbed helical vortex with selected frequencies will be presented.
This video was produced by the SITE Research Center at New York University, as part of their talk series.
