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

物理学;计算机科学

Marchand, Basile^1 ; Chamoin, Ludovic^1 ; Rey, Christian^2

LMT (ENS Cachan/CNRS/Paris-Saclay University), 61 Avenue du Président Wilson, Cachan

94230, France^1

SAFRAN TECH, 1 Rue Geneviéve Aubé, CS 80112, Magny les Hameaux

78772, France^2

关键词: Constitutive Relation Errors;    Identification strategies;    Kalman filtering algorithms;    Model reduction method;    Proper generalized decompositions;    Real-time identification;    Time-dependent boundary conditions;    Time-dependent systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/657/1/012007/pdf
DOI  :  10.1088/1742-6596/657/1/012007

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.