On the optimal experimental design for heat and moisture parameter estimation

Julien Berger (1) , Denys Dutykh (2) , Nathan Mendes (1)

1 PUCPR - Pontifical Catholic University of Paraná
2 LAMA - Laboratoire de Mathématiques

In the context of estimating material properties of porous walls based on in-site measurements and identification method, this paper presents the concept of Optimal Experiment Design (OED). It aims at searching the best experimental conditions in terms of quantity and position of sensors and boundary conditions imposed to the material. These optimal conditions ensure to provide the maximum accuracy of the identification method and thus the estimated parameters. The search of the OED is done using the Fisher information matrix and a priori knowledge on the parameters. The methodology is applied for two cases. The first one deals with purely conductive heat transfer, while the second one combines a strong coupling between heat and moisture transfer.

Mots clés: inverse problem; parameter estimation; Optimal Experiment Design (OED); heat and moisture transfer; sensitivity functions

Domaines: Physique Numérique [physics.comp-ph]; Analyse numérique [math.NA]; Analyse numérique [cs.NA]; Thermique [physics.class-ph]

Julien Berger, Denys Dutykh, Nathan Mendes. On the optimal experimental design for heat and moisture parameter estimation. 2016. ⟨hal-01334414v1⟩