Statistics and structures of pressure in isotropic turbulence

被引:69
作者
Cao, NZ
Chen, SY
Doolen, GD
机构
[1] IBM Corp, Div Res, TJ Watson Res Ctr, Yorktown Hts, NY 10598 USA
[2] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[3] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
关键词
D O I
10.1063/1.870085
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Statistics and structures of pressure in three-dimensional incompressible isotropic turbulence are studied using high-resolution direct numerical simulation for Taylor microscale Reynolds numbers up to 220. It is found that the probability distribution function (PDF) of pressure has negative skewness due to both kinematic and dynamic effects, in contrast to the statistics of the pressure head, whose PDF is almost symmetric. The statistical relations among pressure, vorticity, dissipation and kinetic energy are investigated using conditional averaging. The averaged pressure, conditional on the local enstrophy, shows a linear dependence on enstrophy in the high-enstrophy region. Structure relations between pressure and other physical quantities are qualitatively examined using three-dimensional visualization of iso-surfaces. It is found that the high-vorticity regions are strongly correlated with the low-pressure regions. However, it appears that experimental visualization techniques for detecting high-intensity vortices using microbubbles in low-pressure regions might only be valid for those very-high-vorticity regions where the local enstrophy is at least five times higher than the root mean square enstrophy. The scaling law of the pressure structure function is also presented for both conventional and extended self-similarity. It is found that the pressure increment, delta(r)p, scales with the velocity increment, delta(r)u, for the Reynolds numbers studied: delta(r)p similar to delta(r)u. For flows at moderate Reynolds numbers, it is demonstrated that the extended self-similarity gives better pressure scalings than results from traditional similarity solutions. (C) 1999 American Institute of Physics. [S1070-6631(99)00108-7].
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页码:2235 / 2250
页数:16
相关论文
共 37 条
[11]  
FAUVE S, 1993, J PHYS II, V3, P271, DOI 10.1051/jp2:1993129
[12]  
Gotoh T., 1994, P SUMM PROGR CTR TUR, P189
[13]   *ZUR STATISTISCHEN THEORIE DER TURBULENZ [J].
HEISENBERG, W .
ZEITSCHRIFT FUR PHYSIK, 1948, 124 (7-12) :628-657
[14]   SKEWED, EXPONENTIAL PRESSURE DISTRIBUTIONS FROM GAUSSIAN VELOCITIES [J].
HOLZER, M ;
SIGGIA, E .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (10) :2525-2532
[15]   THE STRUCTURE OF INTENSE VORTICITY IN ISOTROPIC TURBULENCE [J].
JIMENEZ, J ;
WRAY, AA ;
SAFFMAN, PG ;
ROGALLO, RS .
JOURNAL OF FLUID MECHANICS, 1993, 255 :65-90
[16]   THE LOCAL-STRUCTURE OF TURBULENCE IN INCOMPRESSIBLE VISCOUS-FLUID FOR VERY LARGE REYNOLDS-NUMBERS [J].
KOLMOGOROV, AN .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 434 (1890) :9-13
[18]   PRESSURE FIELD WITHIN HOMOGENEOUS ANISOTROPIC TURBULENCE [J].
KRAICHNAN, RH .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1956, 28 (01) :64-72
[19]   BOTTLENECK EFFECTS IN TURBULENCE - SCALING PHENOMENA IN R-SPACE VERSUS P-SPACE [J].
LOHSE, D ;
MULLERGROELING, A .
PHYSICAL REVIEW LETTERS, 1995, 74 (10) :1747-1750
[20]   SPECTRAL LARGE-EDDY SIMULATION OF ISOTROPIC AND STABLY STRATIFIED TURBULENCE [J].
METAIS, O ;
LESIEUR, M .
JOURNAL OF FLUID MECHANICS, 1992, 239 :157-194