For details on the benchmark problem look for: Governing parameters: Grashof number: Prandtl number: Aspect ratio: The stability problems yields:
Case with no-slip lower and stress-free upper surface (Ra-Fa case) Get dependence of the critical Grashof number on the aspect ratio:
Get dependence of the critical frequency number on the aspect ratio: Get patterns of steady flows and their perturbations at critical Grashof numbers (patterns of the flow - left frames - at the most dangerous perturbarions - right frames - at critical parameters): Get patterns of oscillatory flows (snapshots of streamlines plotted for equal time intervals 0.1T covering the complete period): Case with no-slip upper and lower boundaries (Ra-Ra case) Get example of multiple steady states Look how knowledge about multplicity helps to fit experimental results See comparison between results obtained by Galerkin and finite volume methods: Get dependence of the critical Grashof number on the aspect ratio: Get dependence of the critical frequency number on the aspect ratio: Get patterns of steady flows and their perturbations at critical Grashof numbers (patterns of the flow - left frames - at the most dangerous perturbarions - right frames - at critical parameters): Get animated oscillatory flows: |