@article {2014,
	title = {Comparison of a Modal Method and a Proper Orthogonal Decomposition approach for multi-group time-dependent reactor spatial kinetics},
	journal = {Annals of Nuclear Energy},
	volume = {71},
	number = {Annals of Nuclear Energy;volume 71; pages 217-229;},
	year = {2014},
	month = {09/2014},
	pages = {229},
	publisher = {Elsevier},
	chapter = {217},
	abstract = {<p>In this paper, two modelling approaches based on a Modal Method (MM) and on the Proper Orthogonal Decomposition (POD) technique, for developing a control-oriented model of nuclear reactor spatial kinetics, are presented and compared. Both these methods allow developing neutronics description by means of a set of ordinary differential equations. The comparison of the outcomes provided by the two approaches focuses on the capability of evaluating the reactivity and the neutron flux shape in different reactor configurations, with reference to a TRIGA Mark II reactor. The results given by the POD-based approach are higher-fidelity with respect to the reference solution than those computed according to the MM-based approach, in particular when the perturbation concerns a reduced region of the core. If the perturbation is homogeneous throughout the core, the two approaches allow obtaining comparable accuracy results on the quantities of interest. As far as the computational burden is concerned, the POD approach ensures a better efficiency rather than direct Modal Method, thanks to the ability of performing a longer computation in the preprocessing that leads to a faster evaluation during the on-line phase.</p>},
	doi = {10.1016/j.anucene.2014.03.043},
	url = {http://urania.sissa.it/xmlui/handle/1963/35039},
	author = {Alberto Sartori and Davide Baroli and Antonio Cammi and Davide Chiesa and Lelio Luzzi and Roberto R. Ponciroli and Ezio Previtali and Marco E. Ricotti and Gianluigi Rozza and Monica Sisti}
}
@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}
}
