Abstract
Control of oscillatory thermocapillary convection in an annular geometry with a horizontal free surface is investigated by means of a numerical simulation. The objective is to suppress oscillations using a feedback opposition control. The temperature is measured at certain positions on the interface, this signal is amplified and used to apply local heating on the free surface. Many features of the controlled system observed in previous experiments could be reproduced by the simulation. The numerical simulation allows us to clarify the picture of the spatial structures of the controlled oscillation, which was not accessible in the experiments. In addition to what was found in the previous experiments, the present simulations also permit us to investigate the importance of the positioning of sensors and heaters, and the influence of the properties of the heaters.
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