| Titre : |
The use of reduced models to solve inverse heat transfer problems |
| Type de document : |
texte imprimé |
| Auteurs : |
E. Videcoq, Auteur ; D. Petit, Auteur ; H. Sadat, Auteur |
| Importance : |
p 125-132 |
| Langues : |
Anglais (eng) |
| Catégories : |
MATHEMATIQUE-PHYSIQUE-CHIMIE
|
| Mots-clés : |
TRANSFERT DE CHALEUR MODELISATION REDUITE |
| Résumé : |
In the case of a large system, the numerical modelling of the transient diffusion equation leads to a vector differnetial equation of large size. In order to treat Inverse Heat Conduction Problems (IHCP), such as the identification of thermal stimulations from measured temperatures, the use of this type of model is very difficult . Here, we propose an original way for IHCP, by using a Reduced Model (RM) which retains in a simple and stable way, the relations between the thermal inputs and outputs that are observed. This RM, built with dominant eigenmodes, acts as a filter in high frequencies and leads to a precise and well-conditioned algorithm when future time steps are added.
|
| Numéro du document : |
A 7482/PHY |
| Niveau Bibliographique : |
2 |
| Bull1 (Theme principale) : |
PHYSIQUE |
| Bull2 (Theme secondaire) : |
THERMIQUE |
The use of reduced models to solve inverse heat transfer problems [texte imprimé] / E. Videcoq, Auteur ; D. Petit, Auteur ; H. Sadat, Auteur . - [s.d.] . - p 125-132. Langues : Anglais ( eng)
| Catégories : |
MATHEMATIQUE-PHYSIQUE-CHIMIE
|
| Mots-clés : |
TRANSFERT DE CHALEUR MODELISATION REDUITE |
| Résumé : |
In the case of a large system, the numerical modelling of the transient diffusion equation leads to a vector differnetial equation of large size. In order to treat Inverse Heat Conduction Problems (IHCP), such as the identification of thermal stimulations from measured temperatures, the use of this type of model is very difficult . Here, we propose an original way for IHCP, by using a Reduced Model (RM) which retains in a simple and stable way, the relations between the thermal inputs and outputs that are observed. This RM, built with dominant eigenmodes, acts as a filter in high frequencies and leads to a precise and well-conditioned algorithm when future time steps are added.
|
| Numéro du document : |
A 7482/PHY |
| Niveau Bibliographique : |
2 |
| Bull1 (Theme principale) : |
PHYSIQUE |
| Bull2 (Theme secondaire) : |
THERMIQUE |
|  |
The use of reduced models to solve inverse heat transfer problems
