A fast numerical scheme for the Godunov-Peshkov-Romenski model of continuum mechanics
Journal of Computational Physics
MetadataShow full item record
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
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.
Godunov–Peshkov–Romenski, GPR, continuum mechanics, operator splitting, ADER, WENO
I acknowledge financial support from the EPSRC Centre for Doctoral Training in Computational Methods for Materials Science under grant EP/L015552/1.
Embargo Lift Date
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