采用有限体积法的自然对流换热拓扑优化数值方法

A topology optimization method for natural convection heat transfer based on the finite volume method (FVM) is established to address the lack of a topology optimization framework in numerical analysis of thermal-fluid coupling based on the FVM. A fluid-solid unified mathematical model of natural convection heat transfer is first established, and a solution algorithm based on the FVM is proposed. By introducing a structure-based discrete description method, a structure description framework and a material attribute interpolation model between the fluid and the solid are constructed. In addition, mathematical models of topology optimization for heat dissipation enhancement and material transport enhancement are proposed, and the design variables, objective functions and constraints are clarified. A framework of natural convection topology optimization algorithm is established. Finally, three examples arc given to verify the proposed mathematical models and algorithm, and a comparison is made with the commercial software COMSOL. The results show that the numerical differences of pressure, speed and temperature between the natural convection algorithm proposed in this paper and COMSOL arc less than 3 %. For enhancing heat dissipation capacity, the maximum temperature obtained by the proposed topology optimization method is superior to the COMSOL optimization result. The results verify the feasibility and effectiveness of the proposed natural convection topology optimization method based on the FVM.