A mass conservative Kalman filter algorithm for computational thermo-fluid dynamics

Introini, Carolina, Lorenzi, Stefano, Cammi, Antonio, Baroli, Davide, Peters, Bernhard and Bordas, Stéphane ORCID: https://orcid.org/0000-0001-8634-7002 2018. A mass conservative Kalman filter algorithm for computational thermo-fluid dynamics. Materials 11 (11) , 2222. 10.3390/ma11112222

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Abstract

This paper studies Kalman filtering applied to Reynolds-Averaged Navier–Stokes (RANS) equations for turbulent flow. The integration of the Kalman estimator is extended to an implicit segregated method and to the thermodynamic analysis of turbulent flow, adding a sub-stepping procedure that ensures mass conservation at each time step and the compatibility among the unknowns involved. The accuracy of the algorithm is verified with respect to the heated lid-driven cavity benchmark, incorporating also temperature observations, comparing the augmented prediction of the Kalman filter with the Computational Fluid-Dynamic solution found on a fine grid.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	MDPI
ISSN:	1996-1944
Date of First Compliant Deposit:	28 March 2019
Date of Acceptance:	30 October 2018
Last Modified:	06 May 2023 02:07
URI:	https://orca.cardiff.ac.uk/id/eprint/121200

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