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Topology optimization of convective laminar heat transfer. (English. French summary) Zbl 1373.80003

Summary: 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.

MSC:

80A20 Heat and mass transfer, heat flow (MSC2010)
80M50 Optimization problems in thermodynamics and heat transfer
80M12 Finite volume methods applied to problems in thermodynamics and heat transfer
76D05 Navier-Stokes equations for incompressible viscous fluids
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References:

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