A deterministic low‐wave‐number forcing scheme designed to obtain statistically stationary homogeneous, isotropic turbulence in incompressible flows, and address criticisms of earlier schemes is proposed. Three‐dimensional turbulent kinetic energy spectra collapse well and are more consistent with the experimentally determined Kolmogorov coefficient. Spectra for unforced scalar fields at different Prandtl numbers advected by the forced velocity fields collapse under Batchelor scaling, and do not show as strong a low‐wave‐number anomaly as earlier simulations that use forcing on both the velocity and scalar fields.
REFERENCES
1.
E. D.
Siggia
and G. S.
Patterson
, “Intermittency effects in a numerical simulation of stationary three-dimensional turbulence
,” J. Fluid Mech.
86
, 567
(1978
).2.
E. D.
Siggia
, “Numerical study of small-scale intermittency in three dimensional turbulence
,” J. Fluid Mech.
107
, 375
(1981
).3.
R. M.
Kerr
, “Higher-order derivative correlations and the alignment of small scale structures in isotropic numerical turbulence
,” J. Fluid Mech.
153
, 31
(1985
).4.
V.
Eswaran
and S. B.
Pope
, “Direct numerical simulations of the turbulent mixing of a passive scalar
,” Phys. Fluids
31
, 506
(1987
).5.
P. K.
Yeung
and J. G.
Brasseur
, “The response of isotropic turbulence to isotropic and anisotropic forcing at the large scales
,” Phys. Fluids A
3
, 884
(1991
).6.
A.
Vincent
and M.
Meneguzzi
, “The spatial structure and statistical properties of homogeneous turbulence
,” J. Fluid Mech.
225
, 1
(1991
).7.
S. Chen and G. D. Doolen, “New insight into the statistical properties of isotropic turbulence from high resolution simulations,” CNLS Newsletter, 1992.
8.
P.
Givi
, “Model-free simulations of turbulent reactive flows
,” Prog. Energy Combust. Sci.
15
, 1
(1989
).9.
N. P. Sullivan, “Numerical experiments in forced, isotropic, homogeneous turbulence,” M.S. thesis, Department of Mechanical Engineering, University of Colorado at Boulder, 1992.
10.
R. M.
Kerr
, “Velocity, scalar and transfer spectra in numerical turbulence
,” J. Fluid Mech.
211
, 309
(1990
).11.
A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975), Vol. 2.
12.
C. H.
Gibson
, “Fine structure of scalar fields mixed by turbulence. II. Spectral theory
,” Phys. Fluids
11
, 2316
(1991
).13.
J. P. Clay, “Turbulent mixing of temperature in water, air and mercury,” Ph.D. thesis, University of California at San Diego, 1973.
This content is only available via PDF.
© 1994 American Institute of Physics.
1994
American Institute of Physics
You do not currently have access to this content.
