Abstract:
An efficient framework is described
for the shape and topology optimization of realistic three-dimensional,
weakly-coupled fluid-thermal-mechanical systems. At the theoretical
level, the proposed methodology relies on the boundary variation of
Hadamard for describing the sensitivity of functions with respect to the
domain. From the numerical point of view, three key ingredients are
used:
(i) a level set based mesh evolution method allowing to describe large
deformations of the shape while maintaining an adapted, high-quality mesh of
the latter at every stage of the optimization process;
(ii) an efficient constrained optimization algorithm which is very well
adapted to the infinite-dimensional shape optimization context;
(iii) efficient preconditioning techniques for the solution of large finite
element systems in a reasonable computational time.
The performance of our strategy is illustrated with two examples of coupled
physics: respectively fluid--structure interaction and convective heat
transfer. Before that, we perform three other test cases, involving a
single physics (structural, thermal and aerodynamic design), for comparison
purposes and for assessing our various tools: in particular, they prove the
ability of the mesh evolution technique to capture very thin bodies or
shells in 3D.
@article{FEPPON2020109574,
title = "Topology optimization of thermal fluid–structure systems using body-fitted meshes and parallel computing",
journal = "Journal of Computational Physics",
volume = "417",
pages = "109574",
year = "2020",
issn = "0021-9991",
doi = "https://doi.org/10.1016/j.jcp.2020.109574",
url = "http://www.sciencedirect.com/science/article/pii/S002199912030348X",
author = "F. Feppon and G. Allaire and C. Dapogny and P. Jolivet",
keywords = "Shape and topology optimization, Fluid–structure interaction, Convective heat transfer, Aerodynamic design, Mesh adaptation, Distributed computing",
}