Energy Spectrum of buoyancy-driven turbulence

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• Professor Mahendra Verma
• Friday 05 September 2014, 14:30-15:30
• MR9.

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The inertial range properties of fluid turbulence is well described by Kolmogorov’s theory that yields energy spectrum as k^-5/3. The buoyancy however acts as a forcing at all scales, and it could change the phenomenology dramatically. In this talk we show using direct numerical simulation and arguments based onthe kinetic energy flux that the stably stratified flows exhibit k^-11/5 energy spectrum. This is the first such numerical verification. The convective turbulence however still exhibits k^-5/3 due to interesting balance between the forcing and dissipation. We also demonstrate the above scaling using shell model of buoyancy-driven turbulence.

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