Topology optimization of simplified convective heat transfer problems using the finite volume method  

作　　者：YAN Kun WANG YunYu PAN Yu SUN Guo CHEN Jian CAI XianHui CHENG GengDong 

机构地区：[1]School of Chemical Machinery and Safety,Dalian University of Technology,Dalian,116024,China [2]Science and Technology on Scramjet Laboratory,National University of Defense Technology,Changsha,410073,China [3]State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian,116024,China

出　　处：《Science China(Technological Sciences)》2023年第5期1352-1364,共13页中国科学（技术科学英文版）

基　　金：supported by the Aeronautical Science Foundation of China(Grant No.2020Z009063001);the Fundamental Research Funds for the Central Universities(Grant No.DUT22GF303)。

摘　　要：Topology optimization of simplified convective heat transfer has been widely studied,but most existing studies are based on the finite element method(FEM);methods based on the finite volume method(FVM)have been less studied.In this paper,a topology optimization method based on FVM was proposed for a simplified convective heat transfer problem.We developed a novel adjoint sensitivity analysis method applicable to FVM,which included adjoint equations,corresponding boundary conditions,and sensitivity analysis equations.Additionally,a program for the proposed topology optimization method was developed in open field operation and manipulation(OpenFOAM)and portable,extensibletoolkit for scientific computation(PETSc).Thus,large-scale topology optimizations could be performed in parallel.Furthermore,numerical examples of the classical two-dimensional(2D)and 3D optimization problems were considered.The results verified the effectiveness and feasibility of the proposed method.The results of large-scale 3D examples show an interesting phenomenon that for the optimized designs with few features,the large-scale topology optimization is still valuable for obtaining more effective structural shapes.

关 键 词：simplified convective heat transfer topology optimization large scale adjoint sensitivity analysis OPENFOAM 

分 类 号：TK124[动力工程及工程热物理—工程热物理]