| Abstract: | The shell model of developed convective turbulence of an incompressible fluid is considered. Regimes developing at high Rayleigh
numbers are investigated numerically for three- and two-dimensional motion. It is shown that in the three-dimensional turbulent
convection model the inertial Obukhov-Bolgiano interval is developed on large scales, but this interval is unstable and gives
way to the Kolmogorov regime in which the temperature behaves as a passive admixture. In the two-dimensional turbulent convection
model a finite scale interval on which the buoyancy forces determine the nature of the fluctuations but the spectral laws
established differ from those that follow from dimensional considerations for the Obukhov-Bolgiano interval is detected.
Perm’. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 6, pp. 37–46, November–December,
1998.
The work was carried out with financial support from the Russian Foundation for Basic Research (project No. 94-01-00951a). |
