Fourth-order statistical moments of the velocity gradient tensor in homogeneous, isotropic turbulence

DOI10.1063/1.1613648zbMath1186.76224OpenAlexW2019450727MaRDI QIDQ3554132

Juan Hierro, César Dopazo

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/be12e05dca67145fea4ae4945778ce543c64efca

zbMATH Keywords

velocityvorticesturbulencestatistical analysis

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (7)

Energy dissipation rate surrogates in incompressible Navier–Stokes turbulence ⋮ The kinematics of the reduced velocity gradient tensor in a fully developed turbulent free shear flow ⋮ Invariants of the reduced velocity gradient tensor in turbulent flows ⋮ Dynamical effect of the total strain induced by the coherent motion on local isotropy in a wake ⋮ Small-scale statistics in high-resolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics ⋮ Generalised higher-order Kolmogorov scales ⋮ Only two Betchov homogeneity constraints exist for isotropic turbulence

Cites Work

• An inequality concerning the production of vorticity in isotropic turbulence
• Invariants for the one-point vorticity and strain rate correlation functions
• Linearly independent sets of isotropic Cartesian tensors of ranks up to eight
• Isotropic Cartesian tensors of arbitrary even orders and velocity gradient correlation functions
• The spatial structure and statistical properties of homogeneous turbulence

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