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 time scales and structure of Lagrangian intermittency in homogeneous isotropic turbulence
TL;DR: In this paper, the authors present a study of Lagrangian intermittency and its characteristic time scales, showing that holes are associated with quiescent laminar regions of the flow.
Journal ArticleDOI
Decaying turbulence in soap films: energy and enstrophy evolution
Tanveer Shakeel,Peter Vorobieff +1 more
TL;DR: In this paper, a quasi-two-dimensional grid turbulence in gravity-driven soap-film flow is studied. But the authors focus on the differences between the behavior of the flow and the theoretical picture of two-dimensional turbulence.
Dissertation
Automated feature extraction in oceanographic visualization
TL;DR: In this paper, a set-based vortex core detection method based on geometric properties of vortices is applied to both classical vortex models and real ocean models, and the results are evaluated in terms of accuracy, computational efficiency, clarity and usability.
Journal ArticleDOI
Flow topology dynamics in a three-dimensional phase space for turbulent Rayleigh-Bénard convection
TL;DR: In this article, the authors explore new frontiers in Rayleigh-Benard convection on the IBM MareNostrum 4 supercomputer at the BSC using simulations on the MCC NRC \Kurchatov Institute.
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.