Linear stability analysis generalized to a thermally-driven flow

We intend to establish a methodology suited to the search of the first bifu rcations of convective flows using a linear stability analysis so that it p ermits us to define a relationship between amplitude and frequency of the p erturbation. We use a particular combination of various numerical methods t o compute on one hand the basic solution. On the other hand the perturbatio n is applied to the search for the bifurcations in a thermally-driven cavit y.