Optimisation géométrique pour la réhabilitation thermique des enveloppes des bâtiments

Sultan Alpar1,^{1,\star}, Julien Berger1^{1}, Rafik Belarbi1^{1}
^{\star} : sultan.alpar@univ-lr.fr
1^{1} Laboratoire des Sciences de l’Ingénieur pour l’Environnement (LaSIE)
Mots clés : transfert de chaleur, problème inverse, problème d’optimisation, matériau d’isolation
Résumé :

The building sector represents a major source of energy savings and greenhouse gas reduction. It is also a major societal concern linked to the improvement of the living environment of the occupants through the use of energy-efficient solutions with a low environmental footprint. However, a main barrier to the success of the act of rehabilitation of the built heritage is the fact that all the existing tools for designing an energy renovation generate flat walls by combining layers of materials. Thus, the scientific problem is therefore the following: improvement of the energy performance of existing walls by optimizing their geometry. In particular, achieving an optimal distribution of the insulation with regard to the asymmetry of the incident radiative flux. In the present investigation, the boundary element method is applied to solve two-dimensional steady heat conduction problem. The boundary element method is a numerical technique which has been receiving growing attention for solving heat transfer problems because of its unique ability to confine the discretization process to the boundaries of the problem region. The boundary integral equation (BIE) and boundary element equation (BEE) are derived heat conduction.

This work will allow an important advance on the optimization of the energy performance of the walls by proposing a theoretical and numerical framework and experimental investigations to validate the reliability of the predictions of the proposed models.

From a socio-economic point of view, the proposed approach would make it possible to renovate old buildings by developing walls with high energy performance. This work would therefore have an impact on the sustainable construction sector and the rehabilitation of buildings. This work fits perfectly into the many societal challenges. It responds to the challenge dedicated to “Sustainable mobility and urban systems” and more particularly in the axis “From building to sustainable built living environment”. It also contributes to the “Clean, safe and efficient energy” challenge. Indeed, current thermal regulations recommend designing buildings that are more and more thermally insulated with a very low permeability of the envelope. Admittedly, this makes it possible to limit the energy and environmental impact but brings up new challenges because it risks altering summer comfort and the quality of indoor air.

doi : https://doi.org/10.25855/SFT2023-039

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