Bifurcation analysis of two-dimensional Rayleigh-Bénard convection using deflation.

摘要: We perform a bifurcation analysis of the steady state solutions Rayleigh--B\'enard convection with no-slip boundary conditions in two dimensions using numerical method called deflated continuation. By combining this an initialisation strategy based on eigenmodes conducting state, we are able to discover multiple non-linear problem, including disconnected branches diagram, without need any prior knowledge dynamics. One find contains s-shape hysteresis, which is origin flow pattern that may be related dynamics reversals turbulent regime. Linear stability also performed analyse and unsteady regimes parameter space characterise type instabilities.