Coupling Modified Constitutive Relation Error, Model Reduction and Kalman filtering algorithms for Real-Time Parameters Identification

Basile Marchand (1) , Ludovic Chamoin (1) , Christian Rey (2)

1 LMT - Laboratoire de Mécanique et Technologie
2 Safran Tech

In this work we propose a new identification strategy based on the coupling between a probabilistic data assimilation method and a deterministic inverse problem approach using the modified Constitutive Relation Error energy functional. The idea is thus to offer efficient identification despite of highly corrupted data for time-dependent systems. In order to perform real-time identification, the modified Constitutive Relation Error is here associated to a model reduction method based on Proper Generalized Decomposition. The proposed strategy is applied to two thermal problems with identification of time-dependent boundary conditions, or material parameters.

Domaines: Sciences de l'ingénieur [physics]

Basile Marchand, Ludovic Chamoin, Christian Rey. Coupling Modified Constitutive Relation Error, Model Reduction and Kalman filtering algorithms for Real-Time Parameters Identification. 5th International Workshop on New Computational Methods for Inverse Problems, 2015, Cachan, France. ⟨hal-01386133⟩