Materials (Nov 2018)

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

  • Carolina Introini,
  • Stefano Lorenzi,
  • Antonio Cammi,
  • Davide Baroli,
  • Bernhard Peters,
  • Stéphane Bordas

DOI
https://doi.org/10.3390/ma11112222
Journal volume & issue
Vol. 11, no. 11
p. 2222

Abstract

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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.

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