An objective definition of a vortex

By G. Haller. Journal of Fluid Mechanics, 2004

950 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/1db3d0ef98a4e914da3cd7dde4ec023a91b04330

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Citations in the corpus

Dynamics and statistics of heavy particles in turbulent flows (2006, background): “structures in three dimensions (see [48] for a review) : here we characterize the geometry of the fluid velocity field u by looking at the eigenvalues of the strain matrix σ̂i j = ∂i u j .”
Coherent Lagrangian vortices: the black holes of turbulence (2013, background): “As a result, coherent features of turbulence are mostly described through instantaneous Eulerian quantities, such as velocity, pressure and their derivatives (cf. Jeong & Hussain 1985; Haller 2005, for reviews).”
Detection of Lagrangian coherent structures in three-dimensional turbulence (2007, methodology): “Three-dimensional DLE has been computed by Haller (2005) on two established analytic flow solutions.”
The onset of dynamic stall revisited (2012, background): “Several definitions have been proposed hitherto (see e. g. Lugt 1979; Robinson 1991; Haller 2005), but no consensus has been reached yet.”
Comparison between three implementations of automatic identification algorithms for the quantification and characterization of mesoscale eddies in the South Atlantic Ocean (2011, background): “The only exceptions are the ACC eddies, that are advected eastward by the strong mean flow as noted by Hughes et al. (1998). The higher velocities are observed in the north of the domain, and can be associated to the Agulhas eddies corridor – between the Agulhas Current retroflection and the South A”
Lagrangian Coherent Structures (2015, methodology): “Most nonobjective diagnostics misclassify the unsteady flow shown, owing to its closed and rotating streamlines, as elliptic or vortical (Haller 2005).”
A variational theory of hyperbolic Lagrangian Coherent Structures (2010, background): “The concept of uniform finite-time hyperbolicity for individual trajectorieswas apparently first introduced in [12], then elaborated on in [13,1,22,2,3,14].”
An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems (2012, methodology): “We demonstrate that our analytic framework for identifying finite-time coherent sets is objective or frame-invariant, meaning that the method produces the same features when subjected to time-dependent ‘‘proper orthogonal + translational’’ transformations; see [41,42].”
Vortices of the Mediterranean Sea: An Altimetric Perspective (2006, background): “2001) or through some combination of geometrical and dynamical properties of the flow (Hunt et al. 1988; Chong et al. 1990; Jeong and Hussain 1995; Haller 2005).”
Objective Detection of Oceanic Eddies and the Agulhas Leakage (2013, background): “Yet actual 34 particle motion turns out to be governed by a rotating saddle point with no closed 35 transport barriers (Haller, 2005).”