Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   MARCH 2017 , Volume 16 , Number 12 #F0074; Page(s) 703 To 710.
 
Paper: 

TOPOLOGY OPTIMIZATION OF HEAT CONDUCTION PROBLEM VIA LEVEL-SET METHOD AND THE FINITE ELEMENTS ANALYSIS

 
 
Author(s):  JAHANGIRY HASSAN ALI, JAHANGIRI ALI*
 
* FACULTY OF MECHANICAL AND ENERGY ENGINEERING, SHAHID BEHESHTI UNIVERSITY, TEHRAN, IRAN
 
Abstract: 

Topology optimization of the heat transfer quality in two-dimensional heat conduction problem at enclosure as one of the typical thermo-physical problems has always been quite important. In this paper a level set-based topological optimization procedure of two-dimensional heat conduction problem including point and spread thermal on computational domain load using finite elements method is developed. In level-set method, all structural boundaries are parameterized by a level of dynamic implicit scalar function of higher order. Changes of this function can easily model the detachment and attachment of dynamic boundaries in topology procedures. The same shape functions of finite elements analysis are employed to approximate the unknown temperatures and geometry modeling of the design domain. The objective function to minimize thermal power capacity and sensitivity analysis on some heat conduction problems is investigated to deal with the topology optimization using level-set method with the finite elements scheme. Finally, topology optimization results of 3 heat conduction problems under both point and spread thermal load cases are presented to demonstrate the validity of the proposed method. The proposed method leads to a significant reduction of the computational cost and time and it can be applied to a wide range of topology optimization problems arising from the heat transfer.

 
Keyword(s): HEAT TRANSFER, TOPOLOGY OPTIMIZATION, LEVEL-SET METHOD, SENSITIVITY ANALYSIS, FINITE ELEMENTS
 
References: 
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