Stabile, GiovanniMorelli, Umberto EmilBarral Rodiño, PatriciaQuintela Estévez, PeregrinaRozza, GianluigiStabile, Giovanni2021-06-042021-06-042021Morelli, UE, Barral, P, Quintela, P, Rozza, G, Stabile, G. A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation. Int J Numer Methods Eng. 2021; 1– 34. https://doi.org/10.1002/nme.6713http://hdl.handle.net/10347/26383In the present work, we consider the industrial problem of estimating in real-time the mold-steel heat flux in continuous casting mold. We approach this problem by first considering the mold modeling problem (direct problem). Then, we plant the heat flux estimation problem as the inverse problem of estimating a Neumann boundary condition having as data pointwise temperature measurements in the interior of the mold domain. We also consider the case of having a total heat flux measurement together with the temperature measurements. We develop two methodologies for solving this inverse problem. The first one is the traditional Alifanov's regularization, the second one exploits the parameterization of the heat flux. We develop the latter method to have an offline–online decomposition with a computationally efficient online part to be performed in real-time. In the last part of this work, we test these methods on academic and industrial benchmarks. The results show that the parameterization method outclasses Alifanov's regularization both in performance and computational cost. Moreover, it proves to be robust with respect to the measurements noise. Finally, the tests confirm that the computational cost is suitable for real-time estimation of the heat fluxeng© 2021 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposesAtribución-NoComercial 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc/4.0/Boundary condition estimationContinuous castingData assimilationHeat transferInverse problemReal timejournal article10.1002/nme.67131097-0207open access