Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 404, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2022.115773
Keywords
GEIM; Tikhonov Regularization; Noise stabilization; Model order reduction; Data assimilation
Ask authors/readers for more resources
The Empirical Interpolation Method (EIM) and its generalized version (GEIM) are non-intrusive, reduced-basis model order reduction methods used to solve the problem of optimal placement of sensors and real-time estimation in thermo-hydraulics systems. The research provides an alternative and effective solution to reconstruct the system state in the presence of experimental data affected by random noise by using the Tikhonov regularization technique.
The Empirical Interpolation Method (EIM), and its generalized version (GEIM), are non-intrusive, reduced-basis model order reduction methods hereby adopted and modified to address the problem of optimal placement of sensors and real-time estimation in thermo-hydraulics systems. These techniques have been used to extract the characteristic spatial modes of the system and select a set of points (or functionals) corresponding to the optimal locations for the sensors. Collecting experimental measurements in the available points allows the construction of an empirical interpolation of the fields employed to estimate the variable of interest. However, when these data are affected by noise, the (G)EIM loses its good convergence properties. In this context, stabilization techniques allow good field reconstruction even with noisy data. This work provides an alternative and effective solution to the problem of reconstructing the system state in the presence of experimental data affected by random noise by using the Tikhonov regularization technique. The developed methods have been tested on a simple thermo-fluid dynamics problem known as two-sided lid-driven differentially heated square cavity. (c) 2022 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available