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arXiv · 2311.13902

An Application of Reduced Basis Methods to Core Computation in APOLLO3

Yonah Conjungo Taumhas·Geneviève Dusson·Virginie Ehrlacher·Tony Lelièvre·François Madiot
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Abstract

In the aim of reducing the computational cost of the resolution of parameter-dependent eigenvalue problems, a model order reduction (MOR) procedure is proposed. We focus on the case of non-self-adjoint generalized eigenvalue problems, such as the stationary multigroup neutron diffusion equations. The method lies in an approximation of the manifold of solutions using a Proper Orthogonal Decomposition approach. The numerical method is composed of two stages. In the offline stage, we build a reduced space which approximates the manifold. In the online stage, for any given new set of parameters, we solve a reduced problem on the reduced space within a much smaller computational time than the required time to solve the high-fidelity problem. This method is applied to core computations in the APOLLO3 code.

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Yonah Conjungo Taumhas, Geneviève Dusson, Virginie Ehrlacher, Tony Lelièvre, François Madiot. 2023-11-23. An Application of Reduced Basis Methods to Core Computation in APOLLO3. https://arxiv.org/abs/2311.13902

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