LES of unsteady turbulence via a one-equation subgrid-scale transport model

Abstract The study of unsteady turbulent flows can lead to non-equilibrium turbulence spectra and there is a need to develop new subgrid-scale models that can be efficient in such situations. This is particularly necessary if the grid is coarse and the cutoff lies before the inertial zone of the spectrum. The model should be able to behave like a standard LES when the filter is sharp and like RANS models when the filter is wide, in a progressive way. The present work is a first step in that direction made by using transport equations for the subgrid-scale turbulence. We have used a transposition of the statistical model of Hassid and Poreh. The results of the simulations show that the one-equation model can predict the lag effects in the turbulent field response in pulsed channel flow, while the usual Smagorinsky model fails in several aspects.

[1]  G. Comte-Bellot,et al.  Écoulement turbulent entre deux parois parallèles , 1965 .

[2]  Joel H. Ferziger,et al.  Three-dimensional time dependent computation of turbulent flow , 1975 .

[3]  Sedat F. Tardu,et al.  Turbulent channel flow with large-amplitude velocity oscillations , 1994, Journal of Fluid Mechanics.

[4]  J. Kueny,et al.  Measurements of the Periodic Velocity Oscillations Near the Wall in Unsteady Turbulent Channel Flow , 1982 .

[5]  Michael Poreh,et al.  A Turbulent Energy Model for Flows With Drag Reduction , 1975 .

[6]  William C. Reynolds,et al.  Measurements in fully developed turbulent channel flow , 1975 .

[7]  A. Hussain,et al.  The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments , 1972, Journal of Fluid Mechanics.

[8]  P. Moin,et al.  Model consistency in large eddy simulation of turbulent channel flows , 1988 .

[9]  M. Lesieur,et al.  Spectral large-eddy simulation of isotropic and stably stratified turbulence , 1992, Journal of Fluid Mechanics.

[10]  Kiyosi Horiuti.  Large Eddy Simulation of Turbulent Channel Flow by One-Equation Modeling , 1985 .

[11]  J. Deardorff,et al.  The Use of Subgrid Transport Equations in a Three-Dimensional Model of Atmospheric Turbulence , 1973 .

[12]  Roland Schiestel,et al.  A hermitian-fourier numerical method for solving the incompressible navier-stokes equations , 1995 .

[13]  P. Moin,et al.  Numerical investigation of turbulent channel flow , 1981, Journal of Fluid Mechanics.

[14]  A. Hussain,et al.  The mechanics of an organized wave in turbulent shear flow , 1970, Journal of Fluid Mechanics.

[15]  G. Binder,et al.  Wall shear stress modulation in unsteady turbulent channel flow with high imposed frequencies , 1993 .

[16]  Helmut Eckelmann,et al.  Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow , 1979 .

[17]  R. Houdeville,et al.  Unsteady Turbulent Shear Flows , 1982 .

[18]  N. Stosic,et al.  Hysteresis of Turbulent Stresses in Wall Flows Subjected to Periodic Disturbances , 1985 .

[19]  U. Schumann.  Subgrid Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli , 1975 .

[20]  Chin-Hoh Moeng,et al.  LARGE EDDY SIMULATION , 2002 .

[21]  Giles Brereton,et al.  Response of a turbulent boundary layer to sinusoidal free-stream unsteadiness , 1990, Journal of Fluid Mechanics.

[22]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[23]  P. Mestayer.  Local isotropy and anisotropy in a high-Reynolds-number turbulent boundary layer , 1982, Journal of Fluid Mechanics.