Homogenization based topology optimization of a coupled thermal fluid-structure problem

This article focuses on the topology optimization of a weakly coupled three physics problem. The structures are made of periodically perforated material, where the microscopic periodic cell is macroscopically modulated. The objective is to optimize the homogenized formulation of this system, where t...

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Bibliographic Details
Published in:Computers & structures Vol. 308; p. 107636
Main Authors: Oheneba Agyekum, Godfred, Cangémi, Laurent, Jouve, François
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.02.2025
Elsevier
Subjects:
Adjoint methods
Convective heat-transfer
Fluid mechanics
Fluid-structure interaction
Mechanics
Multi-scale
Periodic homogenization
Physics
Porous medium
Topology optimization
Adjoint methods
Convective heat-transfer
Porous medium
Topology optimization
Multi-scale
Periodic homogenization
Fluid-structure interaction
ISSN:0045-7949, 1879-2243
Online Access:Get full text
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Summary:This article focuses on the topology optimization of a weakly coupled three physics problem. The structures are made of periodically perforated material, where the microscopic periodic cell is macroscopically modulated. The objective is to optimize the homogenized formulation of this system, where the coupling is weak because the three physics involved are solved consecutively: first, a coupled fluid flow is determined using the Biot-Darcy's law for the fluid domain, second, a thermal model using the convection-diffusion equation for the whole domain, and third, a three-physics problem by solving the linear poro-thermo elasticity problem in the solid domain. This approach allows low computational cost of evaluation of load sensitivities using the adjoint-state method. Two-dimensional and three-dimensional numerical problems are presented using the alternate directions algorithm. It is demonstrated how the implementation makes it possible to treat a variety of design problems. •Homogenization Based Topology Optimization of a Coupled Thermal Fluid-Structure Problem is proposed.•We demonstrated that the alternate directions method applied to the weakly coupled three physics system produces physically correct results for unconventional design problems.•This approach reduces the number of independent constants that characterize the effective tensor, and allows low computational cost of evaluation of load sensitivities using the adjoint-state method.•Two-dimensional and three-dimensional numerical problems are presented and, it is demonstrated how the implementation makes it possible to treat a variety of design problems.
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2024.107636