Nonlinear effects in buoyancy-driven variable density turbulence

P. Rao, C. P. Caulfield, J. D. Gibbon

We consider the time-dependence of a hierarchy of scaled $L^{2m}$-norms $D_{m,\omega }$ and $D_{m,\theta }$ of the vorticity $\mathbf{\omega }=\nabla \times \mathbf{u}$ and the de…