Time evolution of the eddy viscosity in two-dimensional Navier-Stokes flow

被引:7
作者
Chaves, M [1 ]
Gama, S [1 ]
机构
[1] Univ Porto, CMAUP, Dept Matemat Aplicada, P-4050 Porto, Portugal
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 02期
关键词
D O I
10.1103/PhysRevE.61.2118
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The time evolution of the eddy viscosity associated with an unforced two-dimensional incompressible Navier-Stokes flow is analyzed by direct numerical simulation. The initial condition is such that the eddy viscosity is isotropic and negative. It is shown by concrete examples that the Navier-Stokes dynamics stabilizes negative eddy viscosity effects. in other words, this dynamics moves monotonically the initial negative eddy viscosity to positive values before relaxation due to viscous term occurs.
引用
收藏
页码:2118 / 2120
页数:3
相关论文
共 8 条
[1]  
BOUSSINESQ J, 1870, CR HEBD ACAD SCI, V71, P389
[2]   EDDY VISCOSITY OF PARITY-INVARIANT FLOW [J].
DUBRULLE, B ;
FRISCH, U .
PHYSICAL REVIEW A, 1991, 43 (10) :5355-5364
[3]   VISCOELASTIC BEHAVIOR OF CELLULAR SOLUTIONS TO THE KURAMOTO-SIVASHINSKY MODEL [J].
FRISCH, U ;
SHE, ZS ;
THUAL, O .
JOURNAL OF FLUID MECHANICS, 1986, 168 :221-240
[4]   NEGATIVE EDDY VISCOSITY IN ISOTROPICALLY FORCED 2-DIMENSIONAL FLOW - LINEAR AND NONLINEAR DYNAMICS [J].
GAMA, S ;
VERGASSOLA, M ;
FRISCH, U .
JOURNAL OF FLUID MECHANICS, 1994, 260 :95-126
[5]  
Gottlieb D., 1977, NUMERICAL ANAL SPECT
[6]   A report on testing for built-up turbulence. [J].
Prandtl, L .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1925, 5 :136-139
[7]  
Taylor G. I., 1915, Philos. Trans. Roy. Soc. Containing Pap. Math. or Phys. Character, V215, P1, DOI DOI 10.1098/RSTA.1915.0001
[8]  
VERGASSOLA M, 1993, THEORY SOLAR PLANETA