A fast numerical scheme for the Godunov-Peshkov-Romenski model of continuum mechanics
Authors
Publication Date
2017-11-01Journal Title
Journal of Computational Physics
ISSN
0021-9991
Publisher
Elsevier
Volume
348
Pages
514-533
Language
English
Type
Article
This Version
VoR
Metadata
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Jackson, H. (2017). A fast numerical scheme for the Godunov-Peshkov-Romenski model of
continuum mechanics. Journal of Computational Physics, 348 514-533. https://doi.org/10.1016/j.jcp.2017.07.055
Abstract
A new second-order numerical scheme based on an operator splitting is proposed for the Godunov-Peshkov-Romenski model of continuum mechanics. The homogeneous part of the system is solved with a finite volume method based on a WENO reconstruction, and the temporal ODEs are solved using some analytic results presented here. Whilst it is not possible to attain arbitrary-order accuracy with this scheme (as with ADER-WENO schemes used previously), the attainable order of accuracy is often sufficient, and solutions are computationally cheap when compared with other available schemes. The new scheme is compared with an ADER-WENO scheme for various test cases, and a convergence study is undertaken to demonstrate its order of accuracy.
Keywords
Godunov–Peshkov–Romenski, GPR, continuum mechanics, operator splitting, ADER, WENO
Sponsorship
I acknowledge financial support from the EPSRC Centre for Doctoral Training in Computational Methods for Materials Science under grant EP/L015552/1.
Funder references
Engineering and Physical Sciences Research Council (EP/L015552/1)
Embargo Lift Date
2100-01-01
Identifiers
External DOI: https://doi.org/10.1016/j.jcp.2017.07.055
This record's URL: https://www.repository.cam.ac.uk/handle/1810/267670
Rights
Attribution 4.0 International, Attribution 4.0 International
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