Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model
作者： Anne-Marie Baudron , Jean-Jacques Lautard , Yvon Maday , Mohamed Kamel Riahi , Julien Salomon
DOI: 10.1016/J.JCP.2014.08.037
关键词: Finite element method 、 Iterative method 、 Parareal 、 Predictor–corrector method 、 Nuclear reactor core 、 Applied mathematics 、 Solver 、 Discretization 、 Mathematical optimization 、 Convection–diffusion equation 、 Mathematics
摘要: In this paper we present a time-parallel algorithm for the 3D neutrons calculation of transient model in nuclear reactor core. The consists numerically solving time dependent diffusion approximation equation, which is simplified transport equation. numerical resolution done with finite elements method based on tetrahedral meshing computational domain, representing core, and discretization achieved using ?-scheme. presents moving control rods during reaction. Therefore, cross-sections (piecewise constants) are taken into account by interpolations respect to velocity rods. parallelism across an adequate use parareal handled problem. This parallel predictor corrector scheme that iteratively combines two kinds propagators, one coarse fine. Our made efficient means solver defined large step fixed position model, while fine propagator assumed be high order full model.The implementation our provides good scalability algorithm. Numerical results show efficiency light water corresponding Langenbuch-Maurer-Werner benchmark.
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