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 …

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 …

Efficient and robust anisotropic mesh adaptation is crucial for Computational Fluid Dynamics
(CFD) simulations. The CFD Vision 2030 Study highlights the pressing need for this …

Energy-dependent self-adaptive mesh refinement algorithms are developed for a
continuous Bubnov-Galerkin spatial discretization of the multi-group neutron diffusion …

This paper describes an angular adaptivity algorithm for Boltzmann transport applications
which for the first time shows evidence of O (n) scaling in both runtime and memory usage …

In this paper a hanging-node, discontinuous Galerkin, isogeometric discretisation of the
multigroup, discrete ordinates (SN) equations is presented in which each energy group has …

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 …

This paper investigates for the first time a goal-based angular adaptivity method for thermal
radiation transport, suitable for non grey media when the radiation field is coupled with an …

Anisotropic mesh adaptation has been used to accelerate computation in several
engineering fields, and we show that it can also be used for topology optimization. We use a …

In this paper a method is presented for the application of energy-dependent spatial meshes
applied to the multigroup, second-order, even-parity form of the neutron transport equation …