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.
1
Mines ParisTech, CES, 60 Bd St Michel 75272 Paris Cedex 06, France.
2
Univ Lille Nord de France, F-59000 Lille, Mines Douai, EI, F-59500 Douai, France
@article{EP_2014_45_a38,
author = {Gilles Marck and Maroun Nemer and Jean-Luc Harion},
title = {Topology optimization of convective laminar heat transfer},
journal = {ESAIM. Proceedings},
pages = {369--378},
year = {2014},
volume = {45},
doi = {10.1051/proc/201445038},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201445038/}
}
TY - JOUR
AU - Gilles Marck
AU - Maroun Nemer
AU - Jean-Luc Harion
TI - Topology optimization of convective laminar heat transfer
JO - ESAIM. Proceedings
PY - 2014
SP - 369
EP - 378
VL - 45
UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201445038/
DO - 10.1051/proc/201445038
LA - en
ID - EP_2014_45_a38
ER -
