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A Mass Conservative Kalman Filter Algorithm for Computational Thermo-Fluid Dynamics.


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.

SUBMITTER: Introini C 

PROVIDER: S-EPMC6267179 | biostudies-literature | 2018 Nov

REPOSITORIES: biostudies-literature

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A Mass Conservative Kalman Filter Algorithm for Computational Thermo-Fluid Dynamics.

Introini Carolina C   Lorenzi Stefano S   Cammi Antonio A   Baroli Davide D   Peters Bernhard B   Bordas Stéphane S  

Materials (Basel, Switzerland) 20181108 11


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 al  ...[more]

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