Kinetic Description of Multiscale Phenomena

The Annual Kinetic FRG Meeting
September 21-25, 2009

CSIC Building (#406), Seminar Room 4122.

Conservative high order semi-Lagrangian WENO method for the Vlasov equation

Dr. Jing-Mei Qiu

Colorado School of Mines

Abstract:  We propose a novel semi-Lagrangian method for the Vlasov equation, which combines Strang splitting in time with WENO reconstructions in space. A key insight is that the spatial interpolation matrices, used in the reconstruction process can be factored into flux matrices, because of which WENO can be applied. The CFL time step restriction is removed in the semi-Lagrangian framework. The quality of the method is demonstrated by several classical problems in plasma physics.