Topology optimization of thermal fluid–structure systems using body-fitted meshes and parallel computing

F. Feppon, G. Allaire, C. Dapogny, P. Jolivet
2020 Journal of Computational Physics  
To cite this version: Florian Feppon, Grégoire Allaire, Charles Dapogny, Pierre Jolivet. Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing. 2020. hal-02518207 Abstract. An efficient framework is described for the shape and topology optimization of realistic threedimensional, weakly-coupled fluid-thermal-mechanical systems. At the theoretical level, the proposed methodology relies on the boundary variation of Hadamard for describing the
more » ... tivity 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, highquality 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.
doi:10.1016/j.jcp.2020.109574 fatcat:uj4vs7b4lbd5dktgrl4apmw67a