RT Journal Article T1 A numerical approach for heat flux estimation in thin slabs continuous casting molds using data assimilation A1 Stabile, Giovanni A1 Morelli, Umberto Emil A1 Barral Rodiño, Patricia A1 Quintela Estévez, Peregrina A1 Rozza, Gianluigi A1 Stabile, Giovanni K1 Boundary condition estimation K1 Continuous casting K1 Data assimilation K1 Heat transfer K1 Inverse problem K1 Real time AB In 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 flux PB Wiley YR 2021 FD 2021 LK http://hdl.handle.net/10347/26383 UL http://hdl.handle.net/10347/26383 LA eng NO Morelli, 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.6713 NO The authors would like to acknowledge the financial support of the European Union under the Marie Sklodowska-Curie Grant Agreement No. 765374. The authors also acknowledge the partial support by the Ministry of Economy, Industry and Competitiveness through the Plan Nacional de I+D+i (MTM2015-68275-R), by the Agencia Estatal de Investigacion through project [PID2019-105615RB-I00/ AEI / 10.13039/501100011033], by the European Union Funding for Research and Innovation - Horizon 2020 Program - in the framework of European Research Council Executive Agency: Consolidator Grant H2020 ERC CoG 2015 AROMA-CFD project 681447 “Advanced Reduced Order Methods with Applications in Computational Fluid Dynamics” and INDAM-GNCS project “Advanced intrusive and non-intrusive model order reduction techniques and applications”, 2019 DS Minerva RD 18 abr 2026