Camassa-Holm equations as a closure model for turbulent channel and pipe flow

被引：273
作者：
Chen, S [1 ]
Foias, C
Holm, DD
Olson, E
Titi, ES
Wynne, S
机构：
[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[3] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
[4] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
[5] Univ Calif Irvine, Dept Mech & Aerosp Engn, Irvine, CA 92697 USA
[6] Univ Calif Los Alamos Natl Lab, Inst Geophys & Planetary Phys, Los Alamos, NM 87545 USA
来源：
PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 24期
关键词：
D O I：
10.1103/PhysRevLett.81.5338
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose the viscous Camassa-Holm equations as a closure approximation for the Reynolds-averaged equations of the incompressible Navier-Stokes fluid. This approximation is tested on turbulent channel and pipe flows with steady mean. Analytical solutions for the mean velocity and the Reynolds shear stress are consistent with experiments in most of the now region.
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页码：5338 / 5341
页数：4
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