Journal ArticleDOI
A general classification of three-dimensional flow fields
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TLDR
In this paper, the geometry of solution trajectories for three first-order coupled linear differential equations can be related and classified using three matrix invariants for elementary three-dimensional flow patterns defined by instantaneous streamlines for flow at and away from no slip boundaries for both compressible and incompressible flow.Abstract:
The geometry of solution trajectories for three first‐order coupled linear differential equations can be related and classified using three matrix invariants. This provides a generalized approach to the classification of elementary three‐dimensional flow patterns defined by instantaneous streamlines for flow at and away from no‐slip boundaries for both compressible and incompressible flow. Although the attention of this paper is on the velocity field and its associated deformation tensor, the results are valid for any smooth three‐dimensional vector field. For example, there may be situations where it is appropriate to work in terms of the vorticity field or pressure gradient field. In any case, it is expected that the results presented here will be of use in the interpretation of complex flow field data.read more
Citations
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Journal ArticleDOI
Vortex flows in the solar chromosphere - I. Automatic detection method
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TL;DR: In this article, a line integral convolution (LIC) imaging technique and a scalar quantity that represents a vortex flow on a two-dimensional plane were used to detect magnetic tornadoes.
Book ChapterDOI
Identification and Classification of Topological Structures in Free Shear Flows
Julio Soria,Brian J. Cantwell +1 more
TL;DR: In this paper, a method for identifying and visualising the three-dimensional geometry of focal structures in complex flows is described, which is based primarily on the classification of the local topology as it is identified from the values of the velocity gradient tensor invariants.
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Scanning tomographic particle image velocimetry applied to a turbulent jet
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Inertial particle acceleration statistics in turbulence: Effects of filtering, biased sampling, and flow topology
TL;DR: In this paper, the authors investigated the effect of biased sampling and filtering on the probability density function of inertial particle acceleration in isotropic turbolifting flows and found that the biased filtering is relevant to the higher order moments of acceleration.
Proceedings ArticleDOI
Automatic detection of open and closed separation and attachment lines
TL;DR: The results show that the phase-plane algorithm not only detects the standard closed separation lines but also the illusive open separation lines which are not captured by flow topology methods.
References
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Book
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
J. Guckenheimer,P. J. Holmes +1 more
TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
Book
Differential Equations, Dynamical Systems, and Linear Algebra
Morris W. Hirsch,Steve Smale +1 more
TL;DR: In this article, the structure theory of linear operators on finite-dimensional vector spaces has been studied and a self-contained treatment of that subject is given, along with a discussion of the relations between dynamical systems and certain fields outside pure mathematics.
Journal ArticleDOI
Direct simulation of a turbulent boundary layer up to R sub theta = 1410
TL;DR: In this paper, the turbulent boundary layer on a flat plate, with zero pressure gradient, is simulated numerically at four stations between R sub theta = 225 and R sub tta = 1410.