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Methodology for Discontinuity Factors Generation for Simplified P3 Solver Based on Nodal Expansion Formulation

Department of Nuclear Engineering, North Carolina State University, Raleigh, NC 27695, USA
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Academic Editor: Guglielmo Lomonaco
Energies 2021, 14(20), 6478; https://doi.org/10.3390/en14206478
Received: 30 August 2021 / Revised: 3 October 2021 / Accepted: 6 October 2021 / Published: 10 October 2021
(This article belongs to the Special Issue Advanced Numerical Modelling Techniques for Nuclear Reactors)
The Simplified Spherical Harmonic (SPN) approximation was first introduced as a three-dimensional (3D) extension of the plane-geometry Spherical Harmonic (PN) equations. A third order SPN (SP3) solver, recently implemented in the Nodal Expansion Method (NEM), has shown promising performance in the reactor core neutronics simulations. This work is focused on the development and implementation of the transport-corrected interface and boundary conditions in an NEM SP3 solver, following recent published work on the rigorous SPN theory for piecewise homogeneous regions. A streamlined procedure has been developed to generate the flux zero and second order/moment discontinuity factors (DFs) of the generalized equivalence theory to minimize the error introduced by pin-wise homogenization. Moreover, several colorset models with varying sizes and configurations are later explored for their capability of generating DFs that can produce results equivalent to that using the whole-core homogenization model for more practical implementations. The new developments are tested and demonstrated on the C5G7 benchmark. The results show that the transport-corrected SP3 solver shows general improvements to power distribution prediction compared to the basic SP3 solver with no DFs or with only the zeroth moment DF. The complete equivalent calculations using the DFs can almost reproduce transport solutions with high accuracy. The use of equivalent parameters from larger size colorset models show a slightly reduced prediction error than that using smaller colorset models in the whole-core calculations. View Full-Text
Keywords: transport-corrected SP3; nodal expansion method; generalized equivalence theory; discontinuity factors transport-corrected SP3; nodal expansion method; generalized equivalence theory; discontinuity factors
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MDPI and ACS Style

Xu, Y.; Hou, J.; Ivanov, K. Methodology for Discontinuity Factors Generation for Simplified P3 Solver Based on Nodal Expansion Formulation. Energies 2021, 14, 6478. https://doi.org/10.3390/en14206478

AMA Style

Xu Y, Hou J, Ivanov K. Methodology for Discontinuity Factors Generation for Simplified P3 Solver Based on Nodal Expansion Formulation. Energies. 2021; 14(20):6478. https://doi.org/10.3390/en14206478

Chicago/Turabian Style

Xu, Yuchao, Jason Hou, and Kostadin Ivanov. 2021. "Methodology for Discontinuity Factors Generation for Simplified P3 Solver Based on Nodal Expansion Formulation" Energies 14, no. 20: 6478. https://doi.org/10.3390/en14206478

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