How the viscous subrange determines inertial rangeproperties in turbulence shell
نویسنده
چکیده
We calculate static solutions of the 'GOY' shell model of turbulence and do a linear stability analysis. The asymptotic limit of large Reynolds numbers is analyzed. A phase diagram is presented which shows the range of stability of the static solution. We see an unexpected oscillatory dependence of the stability range upon lg , where is the viscosity. This eeect depends upon the discrete structure of the shell model and goes to zero as the separation between the shells is brought to zero. These ndings show how viscous eeects play a role in determining inertial properties of shell models and give some hints for understanding the eeects of viscous dissipation upon real turbulence.
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