Objective Eulerian coherent structures

Introduction to Focus Issue: Objective Detection of Coherent Structures.

Modified Structure Function Model Based on Coherent Structures

In the present study, a modified Structure Function was introduced. In this modified Structure Function model, the coefficient of model was computed dynamically base on the coherent structure in the flow field. The ability of this Modified Structure Function was investigated for complex flow over a square cylinder in free stream and a low aspect ratio cylinder confined in a channel. The Results...

Deformation of coherent structures

In this review we investigate the mathematical description of the distortion of clearly recognisable structures in phenomenological physics. The coherent structures we will explicitly deal with are surface waves on a layer of fluid, kink transitions in magnetic material, plane vortices, swirling flows in cylindrical pipes and periodic patterns in pattern formation equations. The deformation of ...

Homotopy Coherent Structures

Naturally occurring diagrams in algebraic topology are commutative up to homotopy, but not on the nose. It was quickly realized that very little can be done with this information. Homotopy coherent category theory arose out of a desire to catalog the higher homotopical information required to restore constructibility (or more precisely, functoriality) in such “up to homotopy” settings. The firs...

Lagrangian Coherent Structures

Mounting evidence suggests that fluid advection can effectively be studied by considering special material surfaces, which are referred to here as Lagrangian coherent structures (LCSs). What makes these material surfaces special is their distinguished attracting or repelling nature. Notably, LCS are often locally the most strongly attracting or repellingmaterial surfaces in theflow, and as such...