Self-Adaptive, Parallel, Isogeometric Analysis (IGA) Using T-Splines and LR-B-Splines for the First-Order Form of the Neutron Transport Equation with
Lead Research Organisation:
Imperial College London
Department Name: Mechanical Engineering
Abstract
The aim of this PhD project is to develop novel, self-adaptive, parallel, IGA algorithms for application to reactor physics and radiation shielding problems using T-Spline and LR-B-Spline technology. More specifically these self-adaptive IGA algorithms will be applied to the first-order form of the neutron transport equation with discrete ordinate angular (SN) approximation and sweep based and diffusion synthetic acceleration (DSA) solver methods. IGA is a numerical technology that has been developed recently that takes the underlying Computer-Aided Design (CAD) geometry description, which are usually formed by Non-Uniform Rational B-Spline (NURBS) surface descriptors. This means one can perform design and analysis in one simple step and remove the requirement for an ancillary mesh generator. Moreover, these NURBS based approaches are exact descriptions of the underlying geometry.
People |
ORCID iD |
| Matthew Eaton (Primary Supervisor) | |
| Seth Wilson (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N509486/1 | 01/10/2016 | 31/03/2022 | |||
| 1869743 | Studentship | EP/N509486/1 | 01/10/2016 | 30/06/2020 | Seth Wilson |
| Description | Work was focused mainly on developing continuous and discontinuous spatial discretisations of elliptic and hyperbolic partial differential equations, namely the multigroup neutron diffusion equations, second-order and first-order forms of the neutron transport equations; and significant gains in accuracy and performance were achieved when employing: - exact geometry representation of the underlying geometry in a Galerkin NURBS-based Isogeometric Analysis spatial discretisation - energy-dependent meshes - energy-driven and goal-based hp-adaptive local refinement - acceleration techniques for the transport equations, namely diffusion synthetic acceleration with a GMRes (Krylov) wrapper |
| Exploitation Route | to be adapted / implemented in production codes incorporated within existing codes - interest potentially from the sponsor to be linked with existing CAD programs in order to facilitate more general geometries and problems that the analysis can be performed upon |
| Sectors | Aerospace, Defence and Marine,Energy |