Angular adaptivity with spherical harmonics for Boltzmann transport
File(s)
Accepted version
Author(s)
Dargaville, S
Buchan, AG
Smedley-Stevenson, RP
Smith, PN
Pain, CC
Type
Journal Article
Abstract
This paper describes an angular adaptivity algorithm for Boltzmann transport applications which uses Pn and filtered Pn expansions, allowing for different expansion orders across space/energy. Our spatial discretisation is specifically designed to use less memory than competing DG schemes and also gives us direct access to the amount of stabilisation applied at each node. For filtered Pn expansions, we then use our adaptive process in combination with this net amount of stabilisation to compute a spatially dependent filter strength that does not depend on a priori spatial information. This applies heavy filtering only where discontinuities are present, allowing the filtered Pn expansion to retain high-order convergence where possible. Regular and goal-based error metrics are shown and both the adapted Pn and adapted filtered Pn methods show significant reductions in DOFs and runtime. The adapted filtered Pn with our spatially dependent filter shows close to fixed iteration counts and up to high-order is even competitive with P0 discretisations in problems with heavy advection.
Date Issued
2019-11-15
Date Acceptance
2019-07-19
Citation
Journal of Computational Physics, 2019, 397, pp.1-19
ISSN
0021-9991
Publisher
Elsevier
Start Page
1
End Page
19
Journal / Book Title
Journal of Computational Physics
Volume
397
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
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000486433900023&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Physics, Mathematical
Computer Science
Physics
Angular adaptivity
Goal based
Spherical harmonics
Filtered
Boltzmann transport
RADIATION TRANSPORT
DISCRETIZATION
EFFICIENT
WAVELETS
Publication Status
Published
Article Number
ARTN 108846
Date Publish Online
2019-07-31