Impact of physical model error on state estimation for neutronics applications

Yonah Conjungo Taumhas; David Labeurthre; Francois Madiot; Olga Mula; Tommaso Taddei

doi:10.1051/proc/202373158

Geodesic

Parcourir par

Impact of physical model error on state estimation for neutronics applications

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

ESAIM. Proceedings, Tome 73 (2023), pp. 158-172.

Voir la notice de l'article provenant de la source EDP Sciences

Résumé

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

Affiliations des auteurs :

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

@article{EP_2023_73_a8,
     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},
     publisher = {mathdoc},
     volume = {73},
     year = {2023},
     doi = {10.1051/proc/202373158},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202373158/}
}

TY  - JOUR
AU  - Yonah Conjungo Taumhas
AU  - David Labeurthre
AU  - Francois Madiot
AU  - Olga Mula
AU  - Tommaso Taddei
TI  - Impact of physical model error on state estimation for neutronics applications
JO  - ESAIM. Proceedings
PY  - 2023
SP  - 158
EP  - 172
VL  - 73
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/202373158/
DO  - 10.1051/proc/202373158
LA  - en
ID  - EP_2023_73_a8
ER  -

%0 Journal Article
%A Yonah Conjungo Taumhas
%A David Labeurthre
%A Francois Madiot
%A Olga Mula
%A Tommaso Taddei
%T Impact of physical model error on state estimation for neutronics applications
%J ESAIM. Proceedings
%D 2023
%P 158-172
%V 73
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/202373158/
%R 10.1051/proc/202373158
%G en
%F EP_2023_73_a8

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. http://geodesic.mathdoc.fr/articles/10.1051/proc/202373158/

Cité par Sources :