Equilibrium statistical mechanics of compressible isotropic turbulence

Europhysics Letters

Volumn 38, Issue 9, 1997, Pages 657-662

  Shivamoggi, B K ^a,b  

^a KYOTO UNIVERSITY   (Japan)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031580159     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1997-00297-5     Document Type: Article

References (15)

1. MOISEEV S. S., PETVIASHVILI V. J., TOOR A. V. and YANOVSKII V. V., Physica D, 2 (1981) 218.
2. SHIVAMOGGI B. K., Phys. Lett. A, 166 (1992) 243.
3. SHIVAMOGGI B. K., Ann. Phys. (N.Y.), 243 (1995) 169.
4. In this formulation, the solenoidal and compressible parts of the velocity field are not separated and are considered together.
5. KRAICHNAN R. H., J. Acoust. Soc. Am., 27 (1955) 438.
6. HOPF E., J. Rational Mech. Anal, 1 (1952) 87.
7. LEE T. D., Q. Appl. Math., 10 (1952) 69.
8. KRAICHNAN R. H., Phys. Rev., 109 (1958) 1407.
9. ikn·cursive Greek chi ≥ 0, ∀x and t associated with the truncated Fourier system. However, this requires expressing the positive definiteness of a function via its Fourier transform which poses serious difficulties (Monin and Yaglom [10]). This issue also arises in the statistical mechanics of a Vlasov plasma (Knorr [11]) and has not been resolved except in the one-dimensional case.
10. MONIN A. S. and YAGLOM A. M., Statistical Fluid Mechanics, Vol. 2 (MIT Press) 1975.
11. KNORR G., J, Plasma Phys., 17 (1977) 558.
12. 2) , showing that the compressibility effects reduce the mean kinetic energy of the mode "α". This result is consistent with the indications developed in Shivamoggi [2], [3] that compressible turbulence is effectively more dissipative.
13. ANDREWS L. C., Special Functions of Mathematics for Engineers (McGraw-Hill) 1992.
14. SHIVAMOGGI B. K., Ann. Phys. (N.Y.), 253 (1997) 265.
15. KRAICHNAN R. H., Phys. Fluids, 7 (1964) 1030.