Journal ArticleDOI
A general classification of three-dimensional flow fields
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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Numerical simulation and visualization of vortical structure transformation in the flow past a sphere at an increasing degree of stratification
V. A. Gushchin,P. V. Matyushin +1 more
TL;DR: Based on numerical simulation and visualization, the vortex structure of the flow past a sphere moving uniformly and horizontally in a linearly (density) stratified viscous fluid with an increasing degree of stratification was analyzed in detail for the first time as discussed by the authors.
Journal ArticleDOI
Variation of enstrophy production and strain rotation relation in a turbulent boundary layer
TL;DR: In this paper, the authors investigated the enstrophy production mechanism to identify its variation in the wall-normal direction for the case of a turbulent boundary layer, and proposed a modification to an existing vortex stretch model that accounts for the wall normal variation in enthrophy production in a boundary layer.
Journal ArticleDOI
Direct numerical simulation analysis of local flow topology in a particle-laden turbulent channel flow
TL;DR: The results of point-particle Eulerian-Lagrangian direct numerical simulation (DNS) calculations of dilute particle-laden turbulent channel flow are used to study the effect of the particles on the local flow topology.
Journal ArticleDOI
Direct numerical simulation of conical shock wave/turbulent boundary layer interaction
TL;DR: In this article, the interaction of a conical shock wave with a turbulent boundary layer developing over a flat plate at free-stream Mach number $M_\infty = 2.05$ and Reynolds number $Re_\theta \approx 630$ based on the upstream boundary layer momentum thickness is investigated.
Journal ArticleDOI
Analytic solutions for three dimensional swirling strength in compressible and incompressible flows
TL;DR: In this paper, the authors present analytic solutions for 3D swirling strength in both compressible and incompressible flows, exposing functional dependencies that cannot be seen in numerical solutions, and study the difference between using fluctuating and total velocity gradient tensors for vortex identification.
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.