Abstract
In this paper, we apply the CFL-less kinetic over-relaxation scheme presented in Coulette et al. (Comput Fluids 190:485–502 [1]) to the convection equation in two space dimensions. The method is a succession of free-transport steps and collisions steps. The free transport steps are solved with Fourier discretization. The collision steps are solved with over-relaxation for achieving high order. The method reaches six-order accuracy when using palindromic composition method. We apply the method to the guiding-center model in plasma physics.
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References
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Acknowledgements
This work has been carried out within the framework of the EUROfusion Consortium and has received funding from the Euratom research and training programme 2014–2018 and 2019–2020 under grant agreement No 633053. The views and opinions expressed herein do not necessarily reflect those of the European Commission
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Hélie, R., Helluy, P., Franck, E., Navoret, L. (2020). Kinetic Over-Relaxation Method for the Convection Equation with Fourier Solver. In: Klöfkorn, R., Keilegavlen, E., Radu, F.A., Fuhrmann, J. (eds) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-030-43651-3_71
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DOI: https://doi.org/10.1007/978-3-030-43651-3_71
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