Journal ArticleDOI
A general classification of three-dimensional flow fields
Reads0
Chats0
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
Journal ArticleDOI
On the vortical structure in a round jet
Tadashi Matsuda,Jun Sakakibara +1 more
TL;DR: In this article, a round free jet of water was visualized by using stereo particle image velocimetry (PIV) using a laser light sheet illuminated a cross-sectional plane normal to the axis of the jet, and two charge-coupled device cameras captured particle images in the same region of interest but from different directions.
MonographDOI
Applied Computational Aerodynamics: A Modern Engineering Approach
TL;DR: This paper presents a meta-modelling framework for modeling viscosity and turbulence modeling in computational aerodynamics and some of the commonly used turbulence models used in the field.
Journal ArticleDOI
Letter: Galilean invariance of Rortex
TL;DR: This study proves that Rortex is invariant under the Galilean transformation and several examples are provided to confirm the conclusion.
Journal ArticleDOI
Control of a high Reynolds number Mach 0.9 heated jet using plasma actuators
TL;DR: In this article, the results of particle image velocimetry (PIV) measurements in a high subsonic, heated, jet forced using localized arc filament plasma actuators (LAFPAs) show that LAFPAs can consistently produce significant mixing enhancement over a wide range of temperatures.
Journal ArticleDOI
Feature-driven Cartesian adaptive mesh refinement for vortex-dominated flows
TL;DR: Local normalized feature detection methods developed are shown to be effective in driving the adaptive mesh refinement (AMR) process in an automated and efficient manner and provide comparable accuracy to solutions obtained on uniformly refined meshes at a fraction of the computational cost.
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.