Verification of the current coupling collision probability method with orthogonal flux expansion for the case of single cell



Litskevich, Dzianis ORCID: 0000-0002-3207-3058, Merk, Bruno and Atkinson, Seddon ORCID: 0000-0001-7434-6686
(2020) Verification of the current coupling collision probability method with orthogonal flux expansion for the case of single cell. PROGRESS IN NUCLEAR ENERGY, 120. p. 103219.

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Abstract

Within this article, current coupling collision probability method with expansion of flux by orthogonal polynomials is verified and validated via comparison with analytical and Monte-Carlo solutions for the single cell with reflective boundary conditions. The results of the calculations for a single unit cell demonstrate good agreement with the results of Monte Carlo calculations. The comparison of the new method with the state-of-the-art flat flux approximation demonstrates either an improved quality of the result for identical cell discretisation or significantly increased computational efficiency to achieve an identical solution. Application of the numerical methods for evaluation of the coefficients of orthogonal polynomials increase the flexibility of the method significantly since higher orders of the polynomials for the neutron source/flux expansion can be applied now for much wider range of the 2D problems. Application of the orthogonal polynomials for the flux expansion allows a significant reduction of the number of calculation regions, while maintaining or improving the accuracy of the results. It also improves efficiency (in terms of the accuracy/run time ratio) of the calculations. Finally, it has a potential to relieve the user from determining the correct discretisation of the calculation regions, which is required in the case of the traditional flat flux approximation and can be quite challenging for the complex geometries.

Item Type: Article
Uncontrolled Keywords: Nuclear reactor simulation, Neutron transport calculations, CCCP, Orthogonal polynomials
Depositing User: Symplectic Admin
Date Deposited: 16 Jan 2020 17:25
Last Modified: 19 Jan 2023 00:12
DOI: 10.1016/j.pnucene.2019.103219
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3067104