Approximate equations of turbulent incompressible fluid flow

1972 ◽  
Vol 5 (1) ◽  
pp. 80-90
Author(s):  
V. M. Ievlev
2005 ◽  
Vol 20 (27) ◽  
pp. 6122-6132 ◽  
Author(s):  
S. G. RAJEEV

We propose a model for random forces in a turbulent incompressible fluid by balancing the energy gain from fluctuations against dissipation by viscosity. This leads to a more singular covariance distribution for the random forces than is ordinarily allowed. We then propose regularization of the fluid system by matrix models. A formula for entropy of a two dimensional fluid is derived and then a vorticity profile of a hurricane that maximizes entropy. A regularization of three dimensional incompressible fluid flow using quantum groups is also proposed.


1991 ◽  
Vol 32 (1) ◽  
pp. 57-63
Author(s):  
Sh. A. Ershin ◽  
U. K. Zhapbasbaev ◽  
T. B. Kozhakhmetov ◽  
A. V. Smol'yaninov

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