Kinetic Description of Multiscale Phenomena
The Annual Kinetic FRG Meeting
September 21-25, 2009
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Conservative high order semi-Lagrangian WENO method for the Vlasov equation
Dr. Jing-Mei Qiu
Colorado School of Mines
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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.
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