Some contributions towards the parallel simulation of time dependent neutron transport and the integration of observed data in real time

Abstract : In this thesis, we have first developed a time dependent 3D neutron transport solver on unstructured meshes with discontinuous Galerkin finite elements spatial discretization. The solver (called MINARET) represents in itself an important contribution in reactor physics thanks to the accuracy that it can provide in the knowledge of the state of the core during severe accidents. It will also play an important role on vessel fluence calculations. From a mathematical point of view, the most important contribution has consisted in the implementation of algorithms that are well adapted for modern parallel architectures and that significantly decrease the computing times. A special effort has been done in order to efficiently parallelize the time variable by the use of the parareal in time algorithm. On a second stage, we have developed the foundations of a method with which we could use MINARET to monitor in real time the population of neutrons during the operation of the reactor. One of the major difficulties relies in the necessity of providing computations in real time. This question has been addressed by proposing an extension of the Empirical Interpolation Method (EIM) thanks to which a well-posed interpolation procedure has been defined for functions belonging to Banach spaces. This is possible thanks to the use of interpolating linear forms instead of the traditional interpolation points and a part of this thesis has been devoted to the understanding of the theoretical properties of this method (convergence analysis under the hypothesis of small Kolmogorov n-width and stability of the procedure).
Document type :
Theses
Complete list of metadatas

Cited literature [120 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-01081601
Contributor : Abes Star <>
Submitted on : Monday, November 10, 2014 - 9:57:13 AM
Last modification on : Wednesday, May 15, 2019 - 3:39:00 AM
Long-term archiving on : Wednesday, February 11, 2015 - 3:24:46 PM

File

these_archivage_3160241o.pdf
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-01081601, version 1

Citation

Olga Mula Hernandez. Some contributions towards the parallel simulation of time dependent neutron transport and the integration of observed data in real time. General Mathematics [math.GM]. Université Pierre et Marie Curie - Paris VI, 2014. English. ⟨NNT : 2014PA066201⟩. ⟨tel-01081601⟩

Share

Metrics

Record views

663

Files downloads

1051