Goal-based angular adaptivity for Boltzmann transport in the presence of ray-effects
File(s)1911.01747v1.pdf (2.84 MB)
Accepted version
Author(s)
Dargaville, S
Smedley-Stevenson, RP
Smith, PN
Pain, CC
Type
Journal Article
Abstract
Boltzmann transport problems often involve heavy streaming, where particles propagate long distance due to the dominance of advection over particle interaction. If an insufficiently refined non-rotationally invariant angular discretisation is used, there are areas of the problem where no particles will propagate. These “ray-effects” are problematic for goal-based error metrics with angular adaptivity, as the metrics in the pre-asymptotic region will be zero/incorrect and angular adaptivity will not occur. In this work we use low-order filtered spherical harmonics, which are rotationally invariant and hence not subject to ray-effects, to “bootstrap” our error metric and enable highly refined anisotropic angular adaptivity with a Haar wavelet angular discretisation. We test this on three simple problems with pure streaming in which traditional error metrics fail. We show our method is robust and produces adapted angular discretisations that match results produced by fixed a priori refinement with either reduced runtime or a constant additional cost even with angular refinement.
Date Issued
2020-11-15
Date Acceptance
2020-08-02
Citation
Journal of Computational Physics, 2020, 421, pp.1-19
ISSN
0021-9991
Publisher
Elsevier
Start Page
1
End Page
19
Journal / Book Title
Journal of Computational Physics
Volume
421
Copyright Statement
© 2020 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:000579455000005&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
Ray-effects
Filtered spherical harmonics
Haar wavelets
Boltzmann transport
EFFECT MITIGATION
DISCRETIZATION
Publication Status
Published
Article Number
ARTN 109759
Date Publish Online
2020-08-06