A novel, hierarchical Haar wavelet basis is introduced and used to discretise the angular
dimension of the Boltzmann transport equation. This is used in conjunction with a finite …

A new nonlinear Petrov–Galerkin approach has been developed for proper orthogonal
decomposition (POD) reduced order modelling (ROM) of the Navier–Stokes equations. The …

In this paper a new method for the discretization of the radiation transport equation is
presented, based on a discontinuous Galerkin method in space and angle that allows for …

A new Petrov–Galerkin approach for dealing with sharp or abrupt field changes in
discontinuous Galerkin (DG) reduced order modelling (ROM) is outlined in this paper. This …

This article presents a new reduced order model (ROM) for the angular discretization of the
Boltzmann transport equation. The angular ROM is built over a partitioning of the space …

This paper investigates a reduced order model for the angular discretisation of the radiative
transfer equation (RTE) when considering non grey participating gases. The key idea is to …

This article presents a new reduced order model (ROM) for fast solutions to neutron
transport problems. The novelty lies in the construction of optimal basis functions spanning …

A variable order spherical harmonics scheme has been described and employed for the
solution of the neutral particle transport equation. The scheme is specifically described with …

A method for applying goal-based adaptive methods to the angular resolution of the neutral
particle transport equation is presented. The methods are applied to an octahedral wavelet …

The fusion-reactor blanket is very important, as it is responsible for the tritium self-sustaining,
energy gain, and radiation shielding. Due to the complex structure, large geometry size and …