Title :
FVM-based multi-objective topology optimization and Matlab implementation
Author :
Liang, Liang ; Zhang, Jie ; Chen, Li-Ping ; Zhang, Xiao-Hong
Author_Institution :
Center for Comput.-Aided Design, Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
This paper presents a dapper Matlab implementation of solving multi-objective topology optimization of diffusion problems using the finite volume method. Except for the common objective, some constraints like center of gravity and the manufacturing demands, which are rarely discussed before, are included in this paper. Although specific attention is given to the heat conduction and its applications in this paper, the approach presented can be easily extended to solving other associated diffusion problems. We discussed the basic mathematical model of topology optimization, finite volume analysis, sensitivity derivation, the mathematical programming and some crucial aspects of the Matlab implementation. Some interesting testing examples are provided comparing with those done by the classical FEM-based approach. The complete Matlab code is given in the Appendix and intended for educational purposes.
Keywords :
computational fluid dynamics; finite element analysis; finite volume methods; mathematical programming; mathematics computing; topology; FEM-based approach; FVM; Matlab code; center of gravity; dapper Matlab implementation; finite volume analysis; finite volume method; heat conduction; mathematical programming; multiobjective topology optimization; sensitivity derivation; Computational modeling; Optimization; Matlab; computational fluid dynamics (CFD); finite volume method (FVM); sensitivity analysis; topology optimization;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5619042