非定常熱・流体連成問題のトポロジー最適化

抄録

As regards thermal-fluid topology optimization problems, many beneficial results have been reported. However, only a few studies have considered the unsteady state thermal-fluid problem. In actual design problems, there are lots of cases in which temporal changes in temperature distribution are important rather than steady-state. In this study, the framework of a density-based topology optimization method for the unsteady thermal-fluid problem is proposed. The governing equations are unsteady-state incompressible Naiver-Stokes equation and thermal convection-diffusion equation, discretized with stabilized finite element method. The design sensitivity is computed accurately based on the adjoint variable method. The numerical analysis shows that the proposed framework captures the transient effect correctly and the results of optimization are physically reliable.