Topology optimization of heat conduction problem via Level-Set method based on Reaction-Diffusion equation and the Finite Elements analysis

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Jahangiri H. A.; JAHANGIRI A.

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Paper Information

Journal: JOURNAL OF MECHANICAL ENGINEERING Year:2019 | Volume:49 | Issue:1 (86) Page(s): 73-81

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Title

Topology optimization of heat conduction problem via Level-Set method based on Reaction-Diffusion equation and the Finite Elements analysis

Author(s)

Jahangiri H. A. | JAHANGIRI A. | Issue Writer Certificate

Keywords

Heat transfer

Topology Optimization

Level-set Method

Reaction-Diffusion equation

Sensitivity Analysis

Finite Elements.

Abstract

In this paper a level set-based topological optimization method is developed for determining the optimized topology based on the data obtained from solving two-dimensional heat conduction problem using Finite Elements.method. In Level-set Method, all structural boundaries are parameterized by a level of dynamic implicit scalar function of higher order. Moreover, Allen-Chan equation has been used to update the design variables which have advantages compared to the classic method including letting new holes to be created during the optimization process, ability of removing the re-initialization step and the numerical stability of optimization process. In the present study, the objective function is to minimize thermal power capacity. Sensitivity Analysis has been investigated on several heat conduction problems to optimize the topology using level-set and finite element methods. Finally, topological optimization results obtained from 6 heat conduction problems including point thermal load, spread thermal load, nonzero specified temperature on boundaries and the combination of these 3 cases have been presented to demonstrate the validity of the proposed method.

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APA: Copy

Jahangiri, H. A., & JAHANGIRI, A.. (2019). Topology optimization of heat conduction problem via Level-Set method based on Reaction-Diffusion equation and the Finite Elements analysis. JOURNAL OF MECHANICAL ENGINEERING, 49(1 (86) ), 73-81. SID. https://sid.ir/paper/269982/en

Vancouver: Copy

Jahangiri H. A., JAHANGIRI A.. Topology optimization of heat conduction problem via Level-Set method based on Reaction-Diffusion equation and the Finite Elements analysis. JOURNAL OF MECHANICAL ENGINEERING[Internet]. 2019;49(1 (86) ):73-81. Available from: https://sid.ir/paper/269982/en

IEEE: Copy

H. A. Jahangiri, and A. JAHANGIRI, “Topology optimization of heat conduction problem via Level-Set method based on Reaction-Diffusion equation and the Finite Elements analysis,” JOURNAL OF MECHANICAL ENGINEERING, vol. 49, no. 1 (86) , pp. 73–81, 2019, [Online]. Available: https://sid.ir/paper/269982/en

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