@article {11967,
	title = {A Reduced Basis Approach for Modeling the Movement of Nuclear Reactor Control Rods},
	journal = {NERS-14-1062; ASME J of Nuclear Rad Sci, 2, 2 (2016) 021019},
	volume = {2},
	number = {Journal of Nuclear Engineering and Radiation Science;2},
	year = {2016},
	note = {8 pages},
	month = {02/2016},
	pages = {8},
	publisher = {ASME},
	abstract = {This work presents a reduced order model (ROM) aimed at simulating nuclear reactor control rods movement and featuring fast-running prediction of reactivity and neutron flux distribution as well. In particular, the reduced basis (RB) method (built upon a high-fidelity finite element (FE) approximation) has been employed. The neutronics has been modeled according to a parametrized stationary version of the multigroup neutron diffusion equation, which can be formulated as a generalized eigenvalue problem. Within the RB framework, the centroidal Voronoi tessellation is employed as a sampling technique due to the possibility of a hierarchical parameter space exploration, without relying on a {\textquotedblleft}classical{\textquotedblright} a posteriori error estimation, and saving an important amount of computational time in the offline phase. Here, the proposed ROM is capable of correctly predicting, with respect to the high-fidelity FE approximation, both the reactivity and neutron flux shape. In this way, a computational speedup of at least three orders of magnitude is achieved. If a higher precision is required, the number of employed basis functions (BFs) must be increased.},
	doi = {10.1115/1.4031945},
	url = {http://urania.sissa.it/xmlui/handle/1963/35192},
	author = {Alberto Sartori and Antonio Cammi and Lelio Luzzi and Gianluigi Rozza}
}
