Kármán-Howarth theorem for the Lagrangian-averaged Navier-Stokes-alpha model of turbulence

Journal of Fluid Mechanics

Volumn 467, Issue , 2002, Pages 205-214

  Holm, Darryl D ^a  

^a CENTER FOR NONLINEAR STUDIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; INCOMPRESSIBLE FLOW; KINETIC ENERGY; NAVIER STOKES EQUATIONS; THEOREM PROVING; TURBULENCE;

AUTOCORRELATION FUNCTIONS;

FLUID MECHANICS;

LAGRANGIAN ANALYSIS; NAVIER-STOKES EQUATIONS; TURBULENCE;

EID: 0037174480     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211200200160X     Document Type: Article

References (27)

1. An exact theory of nonlinear waves on a Lagrangian-mean flow
2. The invariant theory of isotropic turbulence in magneto-hydrodynamics
3. The Camassa-Holm equations as a closure model for turbulent channel and pipe flows
4. The Camassa-Holm equations and turbulence in pipes and channels
5. A connection between the Camassa-Holm equations and turbulence in pipes and channels
6. Direct numerical simulations of the Navier-Stokes alpha model
7. Exact results on stationary turbulence in 2D: Consequences of vorticity conservation
8. The Navier-Stokes-alpha model of fluid turbulence
9. The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
10. Alpha-modeling strategy for LES of turbulent mixing
11. Applicability of Kolmogorov's and Monin's equations of turbulence
12. Equations relating structure functions of all orders
13. Next-order structure functions
14. Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion
15. Averaged Lagrangians and the mean dynamical effects of fluctuations in continuum mechanics
16. Euler-Poincaré models of ideal fluids with nonlinear dispersion
17. The Euler-Poincaré equations and semidirect products with applications to continuum theories
18. On the statistical theory of isotropic turbulence
19. Dissipation of energy in locally isotropic turbulence
20. Inertial ranges in two-dimensional turbulence
21. A note on Kolmogorov's third-order structure-function law, the local isotropy hypothesis and the pressure-velocity correlation
22. Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-α) equations on bounded domains
23. Numerical simulations of homogeneous turbulence using the Lagrangian averaged Navier-Stokes equations
24. The invariant theory of isotropic turbulence