Geodesic
Impact of physical model error on state estimation for neutronics applications
Yonah Conjungo Taumhas1, 2, 3 ; David Labeurthre1, 2, 3 ; Francois Madiot1 ; Olga Mula2 ; Tommaso Taddei3
1Université Paris-Saclay, CEA, Service d’Études des Réacteurs et de Mathématiques Appliquées, 91191, Gif-sur-Yvette, France
2Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB, Eindhoven, Netherlands
3IMB, UMR 5251, Univ. Bordeaux, 33400, Talence, France. Inria Bordeaux Sud-Ouest, Team MEMPHIS, 33400, Talence, France
ESAIM. Proceedings, Tome 73 (2023), pp. 158-172
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In this paper, we consider the inverse problem of state estimation of nuclear power fields in a power plant from a limited number of observations of the neutron flux. For this, we use the Parametrized Background Data Weak approach. The method combines the observations with a parametrized PDE model for the behavior of the neutron flux. Since, in general, even the most sophisticated models cannot perfectly capture reality, an inevitable model error is made. We investigate the impact of the model error in the power reconstruction when we use a diffusion model for the neutron flux, and assume that the true physics are governed by a neutron transport model.
DOI : 10.1051/proc/202373158

Yonah Conjungo Taumhas  1 , 2 , 3   ; David Labeurthre  1 , 2 , 3   ; Francois Madiot  1   ; Olga Mula  2   ; Tommaso Taddei  3

1 Université Paris-Saclay, CEA, Service d’Études des Réacteurs et de Mathématiques Appliquées, 91191, Gif-sur-Yvette, France
2 Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB, Eindhoven, Netherlands
3 IMB, UMR 5251, Univ. Bordeaux, 33400, Talence, France. Inria Bordeaux Sud-Ouest, Team MEMPHIS, 33400, Talence, France 
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     author = {Yonah Conjungo Taumhas and David Labeurthre and Francois Madiot and Olga Mula and Tommaso Taddei},
     title = {Impact of physical model error on state estimation for neutronics applications},
     journal = {ESAIM. Proceedings},
     pages = {158--172},
     year = {2023},
     volume = {73},
     doi = {10.1051/proc/202373158},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202373158/}
}
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Yonah Conjungo Taumhas; David Labeurthre; Francois Madiot; Olga Mula; Tommaso Taddei. Impact of physical model error on state estimation for neutronics applications. ESAIM. Proceedings, Tome 73 (2023), pp. 158-172. doi: 10.1051/proc/202373158

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