# Precise 3D Reactor Core Calculation Using Spherical Harmonics and Discontinuous Galerkin Finite Element Methods

Precise 3D Reactor Core Calculation Using Spherical Harmonics and Discontinuous Galerkin Finite Element Methods

Author: Kenneth Assogba
Authors: Kenneth Assogba, Lahbib Bourhrara, Igor Zmijarevic, Grégoire Allaire
Date: 2022
Topic: Conference proceeding
URL: https://kennethassogba.github.io/publications/physor-2022

- [Paper](https://kennethassogba.github.io/assets/docs/physor_2022.pdf)
- [Link](https://www.ans.org/pubs/proceedings/article-51104/)
- [Conference](https://www.ans.org/meetings/physor2022/)

![Takeda 3 core](https://kennethassogba.github.io/assets/img/takeda3.svg "Takeda 3 core")

We study the use of Pn method in angle and Discontinuous Galerkin in space to solve 3D neutron
transport problem. Pn method consists in developing the angular flux on truncated spherical harmonics
basis. In this paper, we couple this method with the discontinuous finite elements in space to obtain a
complete discretisation of the multigroup neutron transport equation.

To investigate its precision, the
method was applied to Takeda and C5G7 benchmark problems. These calculations point out that the
proposed Pn -DG method is capable of producing accurate solutions in small computational time, and
that it is able to handle complex 3D geometries.