Representing anisotropy of two-point second-order turbulence velocity correlations using structure tensors
Date
2008Source
Physics of FluidsVolume
20Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
A locally homogeneous representation for the two-point, second-order turbulent velocity fluctuation Rij(x,r) = 〈u′i(x)u′i(x+r)〉 is formulated in terms of three linearly independent structure tensors [Kassinos et al., J. Fluid Mech. 428, 213 (2001)]: Reynolds stress Bij, dimensionality Dij, and stropholysis Q*ijk. These structure tensors are single-point moments of the derivatives of vector stream functions that contain information about the directional and componential anisotropies of the correlation. The representation is a sum of several rotationally invariant component tensors. Each component tensor scales like a power law in r, while its variation in r/r depends linearly on the structure tensors. Continuity and self-consistency constraints reduce the number of degrees of freedom in the model to 17. A finite Re correction is introduced to the representation for separations of the order of Kolmogorov's length scale. To evaluate our representation, we construct a model correlation by fitting the representation to correlations calculated from direct numerical simulation (DNS) of homogeneous turbulence and channel flow. Comparison of the model correlation to the DNS data shows that the representation can capture the character of the anisotropy of two-point second-order velocity correlation tensors. © 2008 American Institute of Physics.
Collections
Cite as
Related items
Showing items related by title, author, creator and subject.
-
Article
The transport of a passive scalar in magnetohydrodynamic turbulence subjected to mean shear and frame rotation
Kassinos, Stavros C.; Knaepen, B.; Carati, D. (2007)We consider the transport of a passive scalar under the influence of homogeneous turbulence in a conducting fluid that is exposed to a uniform external magnetic field while being sheared in fixed and rotating frames. The ...
-
Article
Semi-solid metal processing: “unlimited” flow velocity without turbulence in thin cast sections
Jorstad, J. L.; Alexandrou, Andreas N.; Mitsoulis, E. (2014)The objective of this presentation is to show and explain why semisolid slurries can fill thin sections at seemingly unlimited flow velocity
-
Conference Object
Effect of turbulent pulsating flow around a near-wall submerged cylinder on the potential motion of bed and suspended loads
Fonias, E. N.; Grigoriadis, D. G. E. (International Society of Offshore and Polar Engineers, 2016)In the present work, the pulsating flow around a submerged cylinder close to the impermeable seabed is examined by means of Large Eddy Simulations (LES). A Reynolds number equal to Re = 5000 is considered, based on the ...