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        Application case for phase III of UAM-LWR benchmark: Uncertainty propagation of thermal-hydraulic macroscopic parameters

        Mesado C.,Miró R.,Verdú G. 한국원자력학회 2020 Nuclear Engineering and Technology Vol.52 No.8

        This work covers an important point of the benchmark released by the expert group on Uncertainty Analysis in Modeling of Light Water Reactors. This ambitious benchmark aims to determine the uncertainty in light water reactors systems and processes in all stages of calculation, with emphasis on multiphysics (coupled) and multi-scale simulations. The Gesellschaft für Anlagen und Reaktorsicherheit methodology is used to propagate the thermal-hydraulic uncertainty of macroscopic parameters through TRACE5.0p3/PARCSv3.0 coupled code. The main innovative points achieved in this work are i) a new thermal-hydraulic model is developed with a highly-accurate 3D core discretization plus an iterative process is presented to adjust the 3D bypass flow, ii) a control rod insertion occurrence ewhich data is obtained from a real PWR teste is used as a transient simulation, iii) two approaches are used for the propagation process: maximum response where the uncertainty and sensitivity analysis is performed for the maximum absolute response and index dependent where the uncertainty and sensitivity analysis is performed at each time step, and iv) RESTING MATLAB code is developed to automate the model generation process and, then, propagate the thermal-hydraulic uncertainty. The input uncertainty information is found in related literature or, if not found, defined based on expert judgment. This paper, first, presents the Gesellschaft für Anlagen und Reaktorsicherheit methodology to propagate the uncertainty in thermalhydraulic macroscopic parameters and, then, shows the results when the methodology is applied to a PWR reactor

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        Time-dependent simplifi ed spherical harmonics formulations for a nuclear reactor system

        A. Carreno,A. Vidal-Ferrandiz,D. Ginestar,G. Verdú 한국원자력학회 2021 Nuclear Engineering and Technology Vol.53 No.12

        The steady-state simplified spherical harmonics equations (SPN equations) are a higher order approximation to the neutron transport equations than the neutron diffusion equation that also have reasonablecomputational demands. This work extends these results for the analysis of transients by comparing oftwo formulations of time-dependent SPN equations considering different treatments for the time derivatives of the field moments. The first is the full system of equations and the second is a diffusiveapproximation of these equations that neglects the time derivatives of the odd moments. The spatialdiscretization of these methodologies is made by using a high order finite element method. For the timediscretization, a semi-implicit Euler method is used. Numerical results show that the diffusive formulation for the time-dependent simplified spherical harmonics equations does not present a relevant lossof accuracy while being more computationally efficient than the full system.

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