Spherical Harmonics and Discontinuous Galerkin Finite Element Methods for the Three Dimensional Neutron Transport Equation: Application to Core and Lattice Calculation
Kenneth Assogba, Lahbib Bourhrara, Igor Zmijarevic, Grégoire Allaire, Antonio Galia
Nuclear Science and Engineering
We combine spherical harmonics and discontinuous Galerkin to discretize the neutron transport equation. The method can handle all geometries describing the fuel elements without any simplification nor homogenisation. Moreover the use of matrix assembly-free method avoids building large sparse matrices, which enables to produce high-order solutions in small computational time and less storage usage.
The resulting transport solver has a wide range of applications: it can be used for a core calculation as well as for a precise 281-groups lattice calculation accounting anisotropic scattering.
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