Identification methods in non linear heat conduction. Part I : model reduction

Manuel Girault (1) , Daniel Petit (1)

1 LET - Laboratoire d'études thermiques

An original method for the identification of Reduced Models (RM) of non linear diffusive thermal systems is proposed in this numerical study. This method derives from the Modal Identification Method developed for linear systems in previous works. Starting from a Detailed Model (DM) under matrix form, a RM structure is denined. RM's matrices are then identified through the minimization of a squared reisdues functional built with the discrepancy between system responses (DM outputs in this study) on the one hand and RM outputs on the other hand, when a specific inpur signal is applied. A tridimensional example with thermal conductivity depending linearly on temperature illustrates the method. In comparison with DM, computing time is drastically reduced (division by a factor greater than 1000 in the proposed example) without significant loss of accuracy.

Domaines: Thermique [physics.class-ph]

Manuel Girault, Daniel Petit. Identification methods in non linear heat conduction. Part I : model reduction. International Journal of Heat and Mass Transfer, 2005, 48, pp.105-118. ⟨10.1016/j.ijheatmasstransfer.2004.06.032⟩. ⟨hal-00019062⟩