Shape optimization in thermal convection field considering a slight compressibility

抄録

In this study, we investigate the shape optimization problem for maximizing heat dissipation in a thermal convection field considering a slight compressibility. This study aims to obtain an optimal shape that will maximize the heat dissipation on arbitrary boundaries considering a slight compressibility. The adjoint variable and traction methods are applied to obtain the gradient for the optimal shape. Consequently, it is found that the trend of increase in heat dissipation is different at certain shape update steps in comparison with the results obtained when considering slight compressibility and using the Boussinesq approximation.