We consider vertical slot convection in the doubly diffusive case over the full range of thermal and solute Rayleigh numbers. We quantitatively categorize the various instability regimes in the linear analyses. In the weakly nonlinear analyses, we derive the amplitude equations using the method of normal forms and study the stability of the finite-amplitude solutions. We discuss in some detail the physics of the various instabilities found in our analyses. Get a copy of the paper.
Incompressibility is achieved in our code by the consistent implementation of the tau-correction.
We demonstrate the effects of the density stratification ratio on the layer dynamics by adopting three stratification ratios for the constant sidewall temperature case. We perform one simulation for constant lateral heat flux to study the effects of the temperature boundary conditions. Finally, we provide details for both edge mergers and interior mergers. Get a copy of this paper. We first consider the case of randomly perturbed interfaces.