Nonlinear effects in buoyancy-driven variable-density turbulence
Nonlinear effects in buoyancy-driven variable-density turbulence
We consider the time dependence of a hierarchy of scaled $L^{2m}$ -norms $D_{m,\unicode[STIX]{x1D714}}$ and $D_{m,\unicode[STIX]{x1D703}}$ of the vorticity $\unicode[STIX]{x1D74E}=\unicode[STIX]{x1D735}\times \boldsymbol{u}$ and the density gradient $\unicode[STIX]{x1D735}\unicode[STIX]{x1D703}$ , where $\unicode[STIX]{x1D703}=\log (\unicode[STIX]{x1D70C}^{\ast }/\unicode[STIX]{x1D70C}_{0}^{\ast })$ , in a buoyancy-driven turbulent flow as simulated by Livescu & Ristorcelli ( J. Fluid Mech. , vol. 591, …