Surface pattern determined by vertical convection on Rayleigh-Taylor instability

Relationship between a surface pattern and vertical convections is studied in a condition of Rayleigh-Taylor instability. The vertical convections change with the case configuration and the aspect ratio r / h of the case, where r and h show radius of case and height of the lighter solution. Fractal pattern is observed at r < h, and cell pattern is formed at r > h. According to the changes of the surface pattern, the vertical convection transfers to some convections from coupled convections. This result shows that the surface pattern is strongly influenced by the vertical convection.