A Numerical Study of Instability Arising from the Bénard Problem
نویسنده
چکیده
Investigated in this report is the Rayleigh-Bénard problem with rotation and a periodic temperature distribution. Both approximate and numerical solutions to the steady-state and unsteady equations have been obtained. The numerical results are based on a finite difference method together with an implicit time stepping method and an iteration algorithm. The analytical results, on the other hand, were obtained by expanding the variables in a series involving a small parameter appearing in the governing equations. Comparisons between the numerical and the analytical results are also included. By varying the Rayleigh number the numerical results were able to confirm the theoretical prediction for when the flow becomes unstable.
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