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Proceedings/Recueil Des Communications Année : 2021

An analytic and symbolic analysis of a coupled thermo-neutronic problem

Résumé

In this paper, we seek analytical approximate solutions of a problem coupling the neutronics equation and the thermal equation (using incomplete Elliptic integrals), and we compare these analytical approximate solutions to a numerical method for the coupled problem, using a Crank-Nicolson scheme for the thermal equation and an generalized eigenvalue problem for the neutronics equation. Both the approximate analytical methods and the numerical method amount to finding the multiplication factor k ef f (k −1 ef f is the generalized eigenvalue) as the unique solution of an equation. All methods yield values of k ef f close to each other with a difference of magnitude 10 −7 , which is much better than what is generally needed in neutronics.
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Dates et versions

hal-03858927 , version 1 (25-11-2022)

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François Dubois, Olivier Lafitte. An analytic and symbolic analysis of a coupled thermo-neutronic problem. IEEE, pp.61-65, 2021, ⟨10.1109/synasc54541.2021.00022⟩. ⟨hal-03858927⟩
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