Scalable angular adaptivity for Boltzmann transport
File(s)1901.04929v1.pdf (3.03 MB)
Accepted version
Author(s)
Dargaville, S
Buchan, AG
Smedley-Stevenson, RP
Smith, PN
Pain, CC
Type
Journal Article
Abstract
scaling in both runtime and memory usage, where n is the number of adapted angles. This adaptivity uses Haar wavelets, which perform structured h-adaptivity built on top of a hierarchical P0 FEM discretisation of a 2D angular domain, allowing different anisotropic angular resolution to be applied across space/energy. These wavelets can be mapped back to their underlying P0 space scalably, allowing traditional DG-sweep algorithms if desired. Instead we build a spatial discretisation on unstructured grids designed to use less memory than competing alternatives in general applications and construct a compatible matrix-free multigrid method which can handle our adapted angular discretisation. Fixed angular refinement, along with regular and goal-based error metrics are shown in three example problems taken from neutronics/radiative transfer applications.
Date Issued
2020-04-01
Date Acceptance
2019-11-11
Citation
Journal of Computational Physics, 2020, 406, pp.1-32
ISSN
0021-9991
Publisher
Elsevier
Start Page
1
End Page
32
Journal / Book Title
Journal of Computational Physics
Volume
406
Copyright Statement
© 2019 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://www.sciencedirect.com/science/article/pii/S0021999119308290?via%3Dihub
Subjects
Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Physics, Mathematical
Computer Science
Physics
Angular adaptivity
Goal based
Haar wavelets
Fast Wavelet Transform
Boltzmann transport
RADIATION TRANSPORT
ERROR ESTIMATION
DISCRETIZATION
WAVELETS
EQUATION
SPHERE
Publication Status
Published
Date Publish Online
2019-11-20