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

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 propose...

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Bibliographic Details
Published inScience China. Technological sciences Vol. 66; no. 5; pp. 1352 - 1364
Main Authors Yan, Kun, Wang, YunYu, Pan, Yu, Sun, Guo, Chen, Jian, Cai, XianHui, Cheng, GengDong
Format Journal Article
LanguageEnglish
Published Beijing Science China Press 01.05.2023
Springer Nature B.V
Subjects
Boundary conditions
Convective heat transfer
Engineering
Finite element method
Finite volume method
Heat transfer
Mathematical analysis
Optimization
Sensitivity analysis
Shape optimization
Structural shapes
Topology optimization
large scale
OpenFOAM
adjoint sensitivity analysis
simplified convective heat transfer
topology optimization
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Summary: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.
ISSN:1674-7321
1869-1900
DOI:10.1007/s11431-022-2198-4