Topology optimization for heat transfer problems

State of the art topology optimization is implemented in our spectral code, to show the potential of performing various types of optimisations using these highly accurate, and scalable codes. Given the large scale of the problem, the optimization is solved with a gradient based method that relies on adjoint sensitivity analysis. The results show both the feasibility of the method, but also reveal new physical effects identified by the optimization algorithm.

Result of the optimization in a 2D closed cavity with an imposed limitation of the solid (black). Different solutions correspond to different initial design, which all lead to essentially the same heat transfer from left to right (target quantity). The temperature is shown in colours, and streamlines indicate the induced fluid velocity.

Published in Saglietti et al. Int. J. Heat Fluid Flow 74 (2018) 36-52.