TY - JOUR
T1 - A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties
AU - Krah , Philipp
AU - Yin , Xi-Yuan
AU - Bergmann , Julius
AU - Nave , Jean-Christophe
AU - Schneider , Kai
JO - Communications in Computational Physics
VL - 4
SP - 905
EP - 937
PY - 2024
DA - 2024/05
SN - 35
DO - http://doi.org/10.4208/cicp.OA-2024-0012
UR - https://global-sci.org/intro/article_detail/cicp/23089.html
KW - Characteristic mapping method, kinetic equations, Vlasov-Poisson, plasma.
AB - <p style="text-align: justify;">We propose an efficient semi-Lagrangian characteristic mapping method for
solving the one+one-dimensional Vlasov-Poisson equations with high precision on a
coarse grid. The flow map is evolved numerically and exponential resolution in linear time is obtained. Global third-order convergence in space and time is shown and
conservation properties are assessed. For benchmarking, we consider linear and nonlinear Landau damping and the two-stream instability. We compare the results with a
Fourier pseudo-spectral method and results from the literature. The extreme fine-scale
resolution features are illustrated showing the method’s capabilities to efficiently treat
filamentation in fusion plasma simulations.</p>