Spectral stability of inviscid columnar vortices

Optimal reconstruction of inviscid vortices

We address the question of constructing simple inviscid vortex models that optimally approximate realistic flows as solutions of an inverse problem. Assuming the model to be incompressible, inviscid and stationary in the frame of reference moving with the vortex, the ‘structure’ of the vortex is uniquely characterized by the functional relation between the streamfunction and vorticity. It is de...

Interaction of inviscid vortices having orthogonal orientations

The present investigation has been carried out from Lagrangian perspective to study the flow field arising due to two and three inviscid and fixed vortex filaments with their axes mutually perpendicular to each other. The equations governing the motion of a fluid particle are a set of three nonlinear ordinary differential equations. For two vortices, the existence of fixed points has been found...

A novel method for analyzing the global stability of inviscid columnar swirling flow in a finite pipe

Spectral Theory of Taylor Vortices

Asymptotic Stability of Unsteady Inviscid Stratified Flows

The stability of modulated atmospheric flows is analyzed. The equations govern. ing the disturbance motion are solved by Galerkin expansions with time-dependent coefficients. Asymptotic stability bounds are then established by constructing Liapuno"\ functions for the resulting differential systems.