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Analytic solutions and numerical method for a coupled thermo-neutronic problem

Abstract : We consider in this contribution a simplified idealized one-dimensional coupled model for neutronics and thermo-hydraulics under the low Mach number approximation. We propose a numerical method treating globally the coupled problem for finding its unique solution. Simultaneously, we use incomplete elliptic integrals to represent analytically the neutron flux. Both methods match perfectly. Note that the multiplication factor, classical output of neutronics problems, depends considerably of the representation of the cross sections.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03663985
Contributor : François Dubois Connect in order to contact the contributor
Submitted on : Wednesday, May 11, 2022 - 10:49:19 AM
Last modification on : Saturday, May 14, 2022 - 3:25:55 AM

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FDOL-thn-10mai2022.pdf
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  • HAL Id : hal-03663985, version 1
  • ARXIV : 2205.05945

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François Dubois, Olivier Lafitte. Analytic solutions and numerical method for a coupled thermo-neutronic problem. 2022. ⟨hal-03663985⟩

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