Topology Optimization Using the SIMP Method for Multiobjective Conductive Problems

Marck, Gilles; Nemer, Maroun; Harion, J.‐L.; Russeil, S.; Bougeard, D.

doi:10.1080/10407790.2012.687979

Cited by 69 publications

(40 citation statements)

References 24 publications

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“…The A and R relationship with (k p /k 0 )f for our genetic algorithm can be fitted by the following relationships: [1,21]; Evolutionary Structural Optimization (ESO) by extension [11] and SIMP model with an aggregated objective function approach (AOF) [16]; data compiled and proposed by Ref. [11] It appears that GA algorithm performance overcomes both constructal approach, CA and ESO algorithms.…”

Section: Results and Analysismentioning

confidence: 99%

“…To list some, simulated annealing (SA) method [12], Solid Isotropic Material with Penalization (SIMP) [13], method of moving asymptotes (MMA) [14e15] and SIMP model with an aggregated objective function approach (AOF) [16] were used to tackle this topology optimization problem. A systematic and quantitative robustness analysis of solutions of various optimization algorithms was provided [17].…”

Section: Introductionmentioning

confidence: 99%

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A genetic algorithm for topology optimization of area-to-point heat conduction problem

Boichot

Fan

2016

International Journal of Thermal Sciences

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International audienceThis paper presents a way of solving the classical area (volume)-to-point heat conduction problem by the means of a simple Genetic Algorithm (GA) in square configuration. After a short description of the numerical method, the optimal solutions proposed for minimizing the peak or mean temperature of a domain are presented. The effects of the conductivity ratio and the filling ratio on the configurations of the conductive tree are also analyzed and discussed. A numerical benchmark is then established to assess the influence of mesh resolution and the reproducibility of the GA optimization. Results show that GA is capable of proposing solutions having almost the same cooling effectiveness for different mesh resolutions or random seed generators. GA is also relevant compared to other optimization techniques presented here. It can be considered as a simple, easy to adapt and robust but computation time consuming method for addressing the general area (volume)-to-point heat conduction problem

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Section: Results and Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A genetic algorithm for topology optimization of area-to-point heat conduction problem

Boichot

Fan

2016

International Journal of Thermal Sciences

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“…Marck et al [84] performed multi-objective optimization (MOO) using the SIMP method. The MOO was carried out with the two separate goals of minimizing the average temperature and minimizing the variance in the temperature.…”

Section: -2015mentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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Topology optimization is proving to be a valuable design tool for physical systems, especially for structural systems. However, its application in the field of heat transfer is less evident but is constantly progressing. In this chapter, we would like to introduce topology optimization in the context of heat exchanger design to the general reader. We also provide a chronological review of available literature to see the current progress of topology optimization in the field of heat transfer and heat exchanger design. We expect that topology optimization will prove to be a valuable tool in heat exchanger design for the coming years.

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“…Evgrafov et al analyzed the convergence of such problems [17] and numerical solutions have been established for multi-objective optimization, aiming for instance at minimizing both mean and variance temperature of conductive fields [18]. These results underline the possibility to reach a set of Pareto optimal solutions from the topology optimization approach.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, two aspects of the heat flux transport are optimized: pure conduction in the solid domain, and conducto-convection in the fluid domain. After introducing the direct problem, the optimization problem and the main algorithm, details are given to deal with the multiobjective nature of the heat and mass transfer problem, in a similar manner to [18]. Then, a study case tackles a bi-objective optimization problem, looking for the Pareto set of solutions minimizing the viscous dissipation while maximizing the heat transfer.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of convective laminar heat transfer

Marck

Nemer

Harion³

2014

ESAIM: ProcS

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Abstract. The topology optimization of systems subject to a fluid flow shows a wide potential for designing optimal and innovative structures. The present works apply the concepts of shape optimization and shape derivative to laminar flows (Navier-Stokes) coupled with heat transfers. In addition to the direct model introduction, a special attention is given to the bi-objective optimization problem and to the algorithm carried out to solve it. The shape derivative is computed thanks to an adjoint state based on a discretization process using the finite volume method. The results show the optimal path of a fluid within a solid domain, taking into account both objectives relative to the minimization of the viscous dissipation and to the maximization of the thermal heat transfer.Résumé. L'optimisation topologique de systèmes sujetsà unécoulement fluide présente un potentiel important pour la conception de structures optimales et innovantes. Les travaux exposés appliquent les concepts de l'optimisation de forme et de la dérivée de formeà l'optimisation d'écoulements laminaires (Navier-Stokes) couplés au transport de la chaleur. Outre la présentation du modèle direct, une attention particulière est donnée au problème d'optimisation qui est par nature bi-objectif età l'algorithme mis en oeuvre pour le résoudre. La dérivée de forme estétablie au moyen d'unétat adjoint basé sur une discrétisation en volumes finis. Les résultats présentés illustrent l'optimisation d'un parcours fluide au sein d'un domaine solide, en prenant en compte les objectifs liésà la minimisation de la dissipation visqueuse età la maximisation du transfert thermique.

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Topology Optimization Using the SIMP Method for Multiobjective Conductive Problems

Cited by 69 publications

References 24 publications

A genetic algorithm for topology optimization of area-to-point heat conduction problem

A genetic algorithm for topology optimization of area-to-point heat conduction problem

Heat Exchanger Design with Topology Optimization

Topology optimization of convective laminar heat transfer

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