A mathematical game for topology optimization of cooling systems

We propose a topology optimization-based method for optimal design of cooling systems in the form mathematical game between two players trying to reach compromise limiting amount medium used and obtaining low temperatures domain. The flow is governed by Stokes–Brinkman model with penalty, while temperature stationary convection–diffusion problem whose solution approximated using finite element consistent stabilization. Existence continuum problems convergence are shown. idea performance proposed illustrated numerical examples based on problem-setting inspired an industrial gas turbine part. exhibits good able generate meaningful concepts representing various levels limited use temperatures.