Bifurcations of central symmetry breaking and stability of nonsymmetric sta
tes of buoyancy-driven convection in laterally heated cavities are studied
numerically. The calculations are carried out using two independent numeric
al approaches. Stability and weakly nonlinear analysis of the calculated bi
furcations are studied by the spectral Galerkin method. Time-marching calcu
lations are carried out using the finite volume method. By applying two ind
ependent numerical approaches the subcritical steady flows, their stability
, the transitions between different states and flows at small and large sup
ercriticalities are comprehensively investigated. It is shown how these num
erical techniques can be applied for interpreting a particular experimental
result.