Adjoint-based constrained topology optimization for viscous flows, including heat transfer

作者：Kontoleontos E A; Papoutsis Kiachagias E M; Zymaris A S; Papadimitriou D I; Giannakoglou K C^*

来源：Engineering Optimization, 2013, 45(8): 941-961.

DOI：10.1080/0305215X.2012.717074

• topology optimization
• continuous adjoint
• laminar and turbulent flows
• heat transfer
• constrained optimization

In fluid mechanics, topology optimization is used for designing flow passages, connecting predefined inlets and outlets, with optimal performance based on selected criteria. In this article, the continuous adjoint approach to topology optimization in incompressible ducted flows with heat transfer is presented. A variable porosity field, to be determined during the optimization, is the means to define the optimal topology. The objective functions take into account viscous losses and the amount of heat transfer. Turbulent flows are handled using the Spalart-Allmaras model and the proposed adjoint is exact, i.e. the adjoint to the turbulence model equation is formulated and solved, too. This is an important novelty in this article which extends the porosity-based method to account for heat transfer flow problems in turbulent flows. In problems such as the design of manifolds, constraints on the outlet flow direction, rates and mean outlet temperatures are imposed.

• 出版日期2013-8-1