Abstract
This short note presents an extension of the hybrid, model-adaptation method introduced in T. Laidin, arXiv 2202.03696, 2022 for linear collisional kinetic equations in a diffusive scaling to the nonlinear mean-field Vlasov-Pois-son-BGK model. The aim of the approach is to reduce the computational cost by taking advantage of the lower dimensionality of the asymptotic model while reducing the overall error. It relies on two criteria motivated by a perturbative approach to obtain a dynamic domain adaptation. The performance of the method and the conservation of mass are illustrated through numerical examples.
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Notes
- 1.
The authors were partially funded by Labex CEMPI (ANR-11-LABX-0007-01) and the MSCA DN-2022 program DATAHYKING.
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Laidin, T., Rey, T. (2023). Hybrid Kinetic/Fluid Numerical Method for the Vlasov-Poisson-BGK Equation in the Diffusive Scaling. In: Franck, E., Fuhrmann, J., Michel-Dansac, V., Navoret, L. (eds) Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems. FVCA 2023. Springer Proceedings in Mathematics & Statistics, vol 433. Springer, Cham. https://doi.org/10.1007/978-3-031-40860-1_24
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DOI: https://doi.org/10.1007/978-3-031-40860-1_24
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