ISSS-7 Proceeding

Numerical schemes for one-dimensional electrostatic Vlasov code:
Comparison between conservative and non-conservative schemes
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Takayuki Umeda1, David Schriver1, and Maha Ashour-Abdalla1,2
1Institute of Geophysical and Planetary Physics, University of California, Los Angels, California 90095-1567, USA
2Department of Physics and Astronomy, University of California, Los Angels, California 90095-1567, USA

Abstract

In recent Vlasov simulation codes the splitting method is widely used because of its easiness for programming. A low-diffusion interpolation scheme is essential in the Vlasov codes based on the splitting method. In this paper we compared conservative and non-conservative schemes such as the Positive Flux Conservation (PFC) scheme, the Constrained Interpolation Profile (CIP) scheme, and the spline scheme by performing one-dimensional electrostatic Vlasov simulations.

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