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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Experimental investigation of influence of Reynolds number on synthetic jet vortex rings impinging onto a solid wall
TL;DR: In this paper, the effect of Reynolds number on the spatial evolution of near-wall vortical structures of the impinging synthetic jet was investigated, and it was found that the Reynolds number has a significant impact on the near wall structure of impinging vortex rings.
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Assessment of human left ventricle flow using statistical shape modelling and computational fluid dynamics.
Seyed Saeid Khalafvand,Jason Voorneveld,Aswin Muralidharan,Frank J. H. Gijsen,Johannes G. Bosch,T. van Walsum,Alexander Haak,N. de Jong,Sasa Kenjeres +8 more
TL;DR: This study studied the four-dimensional blood flow in LV via computational fluid dynamics (CFD) in conjunction with a statistical shape model (SSM), built from segmented LV shapes of 150 subjects, to provide more generalized insights into LV blood flow as a function of changes in anatomy and wall motion.
Journal ArticleDOI
Transient solute transport with sorption in Poiseuille flow
TL;DR: In this article, the authors derived a series solution for the transient evolution of Poiseuille flow with sorption and showed that the early regime is characterized by a strong dependence on the partition coefficient.
Journal ArticleDOI
Design of implicit high-order filters on unstructured grids for the identification of large-scale features in large-eddy simulation and application to a swirl burner
TL;DR: In this article, high-order filters are used to extract the vortex core from a realistic turbulent flow, which enables to study in detail this large-scale structure and to gain insight into the dynamic of swirl flows.
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Turbulence topologies predicted using large eddy simulations
TL;DR: In this article, the influence of near-wall anisotropy on the flow topologies of real turbulence from the ideal restricted Euler flow has been investigated using a large eddy simulation and two dynamic models, namely, the conventional dynamic model of Lilly and a recently developed dynamic nonlinear subgrid scale model.
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.
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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.