Imperial College London
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DrStevenDargaville

Faculty of Engineering, Department of Earth Science & Engineering

Research Associate
 
 
 
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Contact

 

s.dargaville

 
 
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Location

 

Royal School of MinesSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Dargaville:2019:10.1016/j.jcp.2019.07.044,
author = {Dargaville, S and Buchan, AG and Smedley-Stevenson, RP and Smith, PN and Pain, CC},
doi = {10.1016/j.jcp.2019.07.044},
journal = {Journal of Computational Physics},
pages = {1--19},
title = {Angular adaptivity with spherical harmonics for Boltzmann transport},
url = {http://dx.doi.org/10.1016/j.jcp.2019.07.044},
volume = {397},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Dargaville,S
AU  - Buchan,AG
AU  - Smedley-Stevenson,RP
AU  - Smith,PN
AU  - Pain,CC
DO  - 10.1016/j.jcp.2019.07.044
EP  - 19
PY  - 2019///
SN  - 0021-9991
SP  - 1
TI  - Angular adaptivity with spherical harmonics for Boltzmann transport
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2019.07.044
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000486433900023&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://www.sciencedirect.com/science/article/pii/S0021999119305303?via%3Dihub
UR  - http://hdl.handle.net/10044/1/86183
VL  - 397
ER  -
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