Reduced Basis Approaches in Time-Dependent Non-Coercive Settings for Modelling the Movement of Nuclear Reactor Control Rods  

作　　者：Alberto Sartori Antonio Cammi Lelio Luzzi Gianluigi Rozza 

机构地区：[1]Politecnico di Milano–Department of Energy,CeSNEF,Enrico Fermi Center for Nuclear Studies,via La Masa 34,20156Milano,Italy [2]SISSA,International School for Advanced Studies,Mathematics Area–mathLab,Via Bonomea 265,34136 Trieste,Italy.

出　　处：《Communications in Computational Physics》2016年第6期23-59,共37页计算物理通讯（英文）

基　　金：We acknowledge CINECA and Regione Lombardia LISA computational initiative,for the availability of high performance computing resources and support.G.Rozza acknowledges INDAM-GNCS national activity group and NOFYSAS program of SISSA.

摘　　要：In this work,two approaches,based on the certified Reduced Basis method,have been developed for simulating the movement of nuclear reactor control rods,in time-dependent non-coercive settings featuring a 3D geometrical framework.In particular,in a first approach,a piece-wise affine transformation based on subdomains division has been implemented for modelling the movement of one control rod.In the second approach,a“staircase”strategy has been adopted for simulating themovement of all the three rods featured by the nuclear reactor chosen as case study.The neutron kinetics has been modelled according to the so-called multi-group neutron diffusion,which,in the present case,is a set of ten coupled parametrized parabolic equations(two energy groups for the neutron flux,and eight for the precursors).Both the reduced order models,developed according to the two approaches,provided a very good accuracy comparedwith high-fidelity results,assumed as“truth”solutions.At the same time,the computational speed-up in the Online phase,with respect to the fine“truth”finite element discretization,achievable by both the proposed approaches is at least of three orders of magnitude,allowing a real-time simulation of the rod movement and control.

关 键 词：Reduced basis method control rod movement spatial kinetics parametrized geometry multi-group neutron diffusion non-coercive operators 

分 类 号：O57[理学—粒子物理与原子核物理]