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

Presented by: 
Katharina Kormann
Monday 28th October 2019 - 10:45 to 11:30
INI Seminar Room 2
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons