A Shell Model for Buoyancy-Driven Turbulence

Abstract

In this paper we present a unified shell model for stably stratified and convective turbulence. Numerical simulation of this model for stably stratified flow shows Bolgiano-Obukhbov scaling in which the kinetic energy spectrum varies as $k^{-11/5}$. We also observe a dual scaling ($k^{-11/5}$ and $k^{-5/3}$) for a limited range of parameters. The shell model of convective turbulence yields Kolmogorov's spectrum. These results are consistent with the energy flux and energy feed due to buoyancy, and are in good agreement with direct numerical simulations of Kumar {\em et al.} [Phys. Rev. E {\bf 90}, 023016 (2014)].

References in corpus (7)

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• An optimal shell model of turbulence
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• Energy spectra and fluxes for Rayleigh-Benard convection
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Cited by in corpus (10)

• Phenomenology of buoyancy-driven turbulence: recent results
• Revisiting Bolgiano-Obukhov scaling for moderately stably stratified turbulence
• Applicability of Taylor's hypothesis in thermally driven turbulence
• Optimal subgrid scheme for shell models of turbulence
• Inverse energy cascade in nonlocal helical shellmodels of turbulence
• Prandtl number dependence of the small-scale properties in turbulent Rayleigh-Bénard convection
• Phenomenology of two-dimensional stably stratified turbulence under large-scale forcing
• Contrasting turbulence in stably stratified flows and thermal convection
• Shell Models on Recurrent Sequences: Fibonacci, Padovan and Other Series
• Nonlinear phase synchronization and the role of spacing in shell models