@article {2017,
	title = {A reduced order model for investigating the dynamics of the Gen-IV LFR coolant pool},
	journal = {Applied Mathematical Modelling},
	volume = {46},
	year = {2017},
	pages = {263-284},
	doi = {10.1016/j.apm.2017.01.066},
	url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85020006623\&doi=10.1016\%2fj.apm.2017.01.066\&partnerID=40\&md5=f6e5715037eb0ef2ecb9ae03f373294f},
	author = {Stefano Lorenzi and Antonio Cammi and Lelio Luzzi and Gianluigi Rozza}
}
@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}
}
@article {2015,
	title = {Reduced basis approaches in time-dependent noncoercive settings for modelling the movement of nuclear reactor control rods},
	journal = {Communications in Computational Physics},
	year = {2016},
	month = {2016},
	publisher = {SISSA},
	abstract = {<p>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 {\textquotedblleft}staircase{\textquotedblright} strategy has been adopted for simulating the movement 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 compared with high-fidelity results, assumed as {\textquotedblleft}truth{\textquotedblright} solutions. At the same time, the computational speed-up in the Online phase, with respect to the fine {\textquotedblleft}truth{\textquotedblright} 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.</p>},
	url = {http://urania.sissa.it/xmlui/handle/1963/34963},
	author = {Alberto Sartori and Antonio Cammi and Lelio Luzzi and Gianluigi Rozza}
}
@proceedings {2014,
	title = {A reduced order model for multi-group time-dependent parametrized reactor spatial kinetics},
	number = {International Conference on Nuclear Engineering, Proceedings, ICONE;volume 5;},
	year = {2014},
	note = {2014 22nd International Conference on Nuclear Engineering, ICONE 2014; Prague; Czech Republic; 7 July 2014 through 11 July 2014; Code 109131;},
	month = {07/2014},
	pages = {V005T17A048-V005T17A048},
	publisher = {American Society of Mechanical Engineers (ASME)},
	edition = {American Society Mechanical Engineering},
	address = {Prague, Czech Republic},
	abstract = {<p>In this work, a Reduced Order Model (ROM) for multigroup time-dependent parametrized reactor spatial kinetics is presented. The Reduced Basis method (built upon a high-fidelity "truth" finite element approximation) has been applied to model the neutronics behavior of a parametrized system composed by a control rod surrounded by fissile material. The neutron kinetics has been described by means of a parametrized multi-group diffusion equation where the height of the control rod (i.e., how much the rod is inserted) plays the role of the varying parameter. In order to model a continuous movement of the rod, a piecewise affine transformation based on subdomain division has been implemented. The proposed ROM is capable to efficiently reproduce the neutron flux distribution allowing to take into account the spatial effects induced by the movement of the control rod with a computational speed-up of 30000 times, with respect to the "truth" model.</p>},
	isbn = {978-079184595-0},
	doi = {10.1115/ICONE22-30707},
	url = {http://urania.sissa.it/xmlui/handle/1963/35123},
	author = {Alberto Sartori and Davide Baroli and Antonio Cammi and Lelio Luzzi and Gianluigi Rozza}
}
