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On structure-preserving particle-in-cell methods for the Vlasov-Maxwell equations

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GCS - Geometry, compatibility and structure preservation in computational differential equations

Numerical schemes that preserve the structure of the kinetic equations can
provide new insight into the long time behavior of fusion plasmas. An electromagnetic
particle-in-cell solver for the Vlasov{Maxwell equations that preserves at the discrete
level the non-canonical Hamiltonian structure of the Vlasov{Maxwell equations has
been presented in [1]. In this talk, the framework of this geometric particle-in-cell
method will be presented and extension to curvilinear coordinates will be discussed.
Moreover, various options for the temporal discretizations will be proposed and compared.
[1] M. Kraus, K. Kormann, P. J. Morrison, and E. Sonnendrucker. GEMPIC : geometric electromag-
netic particle-in-cell methods. Journal of Plasma Physics, 83(4), 2017.

This talk is part of the Isaac Newton Institute Seminar Series series.

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