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P: Fachverband Plasmaphysik

P 11: Helmholtz Graduate School - Poster

P 11.3: Poster

Dienstag, 6. März 2018, 16:15–18:15, Redoutensaal

Energy-conserving Implicit Time Discretisation for the GEMPIC Framework — •Benedikt Perse^1,2, Katharina Kormann^1,2, and Eric Sonnendrücker^1,2 — ¹Max-Planck-Institute for Plasma Physics, Garching, Germany — ²TU München, Zentrum Mathematik, Garching, Germany

For this poster, we consider an energy-conserving implicit time discretisation for the GEMPIC framework by reviewing the "Exactly energy conserving semi-implicit method" of Lapenta.

We adapt the method for the finite element discretisation of the GEMPIC framework, modify the splitting to gain higher order of accuracy for the electromagnetic fields and examine the performance of an 1d2v code in some test cases in regard of the conservation of energy and Gauss' law and the dependence of the accuracy on the time step. Furthermore, we compare the method to the explicit time stepping based on a Hamiltonian splitting proposed for the GEMPIC framework and another semi-implicit method using an average vector field scheme.