Lagrangian dynamics and models of the velocity gradient tensor in turbulent flows

C Meneveau - Annual Review of Fluid Mechanics, 2011 - annualreviews.org
Many fundamental and intrinsic properties of small-scale motions in turbulence can be
described using the velocity gradient tensor. This tensor encodes interesting geometric and …

[图书][B] Introduction to symmetry analysis

BJ Cantwell - 2002 - books.google.com
Page 1 CAMBRIDGE TEXTS IN APPLIED MATHEMATICS Introduction to Symmetry
Analysis BRIAN J. CANTWELL Page 2 Introduction to Symmetry Analysis Symmetry …

Invariants of the velocity-gradient, rate-of-strain, and rate-of-rotation tensors across the turbulent/nonturbulent interface in jets

CB da Silva, JCF Pereira - Physics of fluids, 2008 - pubs.aip.org
The invariants of the velocity gradient (⁠ R and Q⁠), rate-of-strain (⁠ RS and QS⁠), and rate-
of-rotation (QW) tensors are analyzed across the turbulent/nonturbulent (T/NT) interface by …

Topology of fine-scale motions in turbulent channel flow

HM Blackburn, NN Mansour… - Journal of Fluid …, 1996 - cambridge.org
An investigation of topological features of the velocity gradient field of turbulent channel flow
has been carried out using results from a direct numerical simulation for which the Reynolds …

Is vortex stretching the main cause of the turbulent energy cascade?

M Carbone, AD Bragg - Journal of Fluid Mechanics, 2020 - cambridge.org
In three-dimensional turbulence there is on average a cascade of kinetic energy from the
largest to the smallest scales of the flow. While the dominant idea is that the cascade occurs …

Clustering of aerosol particles in isotropic turbulence

J Chun, DL Koch, SL Rani, A Ahluwalia… - Journal of Fluid …, 2005 - cambridge.org
It has been recognized that particle inertia throws dense particles out of regions of high
vorticity and leads to an accumulation of particles in the straining-flow regions of a turbulent …

Local energy flux and subgrid-scale statistics in three-dimensional turbulence

V Borue, SA Orszag - Journal of Fluid Mechanics, 1998 - cambridge.org
Statistical properties of the subgrid-scale stress tensor, the local energy flux and filtered
velocity gradients are analysed in numerical simulations of forced three-dimensional …

A study of the fine‐scale motions of incompressible time‐developing mixing layers

J Soria, R Sondergaard, BJ Cantwell, MS Chong… - Physics of …, 1994 - pubs.aip.org
The geometry of dissipating motions in direct numerical simulations (DNS) of the
incompressible mixing layer is examined. All nine partial derivatives of the velocity field are …

Lagrangian tetrad dynamics and the phenomenology of turbulence

M Chertkov, A Pumir, BI Shraiman - Physics of fluids, 1999 - pubs.aip.org
A new phenomenological model of turbulent fluctuations is constructed by considering the
Lagrangian dynamics of four points (the tetrad). The closure of the equations of motion is …

State of the art in time‐dependent flow topology: Interpreting physical meaningfulness through mathematical properties

R Bujack, L Yan, I Hotz, C Garth… - Computer Graphics …, 2020 - Wiley Online Library
We present a state‐of‐the‐art report on time‐dependent flow topology. We survey
representative papers in visualization and provide a taxonomy of existing approaches that …