NONLINEAR REYNOLDS STRESS MODELS AND THE RENORMALIZATION-GROUP

被引:147
作者
RUBINSTEIN, R
BARTON, JM
机构
[1] Aeromechanics Department, Sverdrup Technology, Inc., NASA Lewis Research Center, Cleveland
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1990年 / 2卷 / 08期
关键词
D O I
10.1063/1.857595
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The renormalization group is applied to derive a nonlinear algebraic Reynolds stress model of anisotropic turbulence in which the Reynolds stresses are quadratic functions of the mean velocity gradients. The model results from a perturbation expansion that is truncated systematically at second order with subsequent terms contributing no further information. The resulting turbulence model applies to both low and high Reynolds number flows without requiring wall functions or ad hoc modifications of the equations. All constants are derived from the renormalization group procedure; no adjustable constants arise. The model permits inequality of the Reynolds normal stresses, a necessary condition for calculating turbulence-driven secondary flows in noncircular ducts. © 1990 American Institute of Physics.
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页码:1472 / 1476
页数:5
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