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
More filters
Direct Numerical Simulation of Incompressible Pipe Flow Using a B-Spline Spectral Method
TL;DR: In this paper, a numerical method based on b-spline polynomials was developed to study incompressible flows in cylindrical geometries, which greatly reduced the cost and complexity of the computations.
Journal ArticleDOI
Surface flow and vortex shedding of an impulsively started wing
TL;DR: In this paper, the formation, evolution, and shedding of the vortex system on the suction surface are observed and analyzed by streak pictures of particle images, and five characteristic vortex evolution regimes are identified in the parameter domain of angle of attack and chord Reynolds number.
Journal ArticleDOI
Generalized Lagrangian coherent structures
TL;DR: In this article, the concept of Lagrangian Coherent Structure (LCS) is generalized to capture coherence in other quantities of interest that are transported by, but not fully locked to, the fluid.
Journal ArticleDOI
Flow past a delta wing with a sinusoidal leading edge: near-surface topology and flow structure
Tunc Goruney,Donald Rockwell +1 more
TL;DR: In this paper, the near-surface flow structure and topology on a delta wing of low sweep angle, having sinusoidal leading edges of varying amplitude and wavelength, were investigated using a stereoscopic technique of high-image-density particle image velocimetry at a Reynolds number of 15,000.
Journal ArticleDOI
Dynamic simulation of sphere motion in a vertical tube
TL;DR: In this article, a finite-difference-based distributed Lagrange multiplier (DLM) method was used to simulate the sedimentation of a sphere and its radial migration in a vertical tube filled with a Newtonian fluid.
References
More filters
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.