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Titlebook: Macroscopic Modelling of Turbulent Flows; Proceedings of a Wor Uriel Frisch,Joseph B. Keller,Olivier Pironneau Conference proceedings 1985

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Homogenization and visco-elasticity of turbulence,equation with 2.-periodic boundary conditions. It is found that these solutions exhibit visco-elastic behaviour under very large wavelength perturbations. This elasticity property is then extended to Navier-Stokes turbulence. It is suggested that two-dimensional flame fronts and various turbulent fl
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Eddy viscosity subgrid scale models for homogeneous turbulence,dy viscosity. For the sake of simplicity, this model can be approximated by a wave number independent eddy viscosity. This constant eddy viscosity is expressed in terms of the small eddies, so that both the large scales and the small scales are known during the simulation for better comparison with
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A stochastic subgrid model for sheared turbulence,on of the statistical properties of the small scales. The model is stochastic in order to allow a “desaveraging” of the informations provided by the E.D.Q.N.M. closure. It is basedon stochastic amplitude equations for two-point closures. It allows backflow of energy from the small scales, introduces
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Numerical simulation of homogeneous turbulence, velocity gradients. The Taylor microscale Reynolds number is in the range 20–70. The two strains considered are plane strain and solid body rotation. For the plane strain case, the two described simulations show clearly the reorganizing processes of the turbulent field after each abrupt change of t
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Time-dependent rayleigh-benard convection in low prandtl number fluids,bounding surfaces maintained at constant temperatures. We consider the case of free slip boundary con ditions for a fluid of Prandtl number Pr = 0.2 and that of nonslip boundary conditions for a fluid with Px = 0.025. In the former situation, we observe stationary, periodic, bi-periodic and chaotic
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