A conservative and non-oscillatory scheme for Vlasov code simulations

Details A conservative and non-oscillatory scheme for Vlasov code simulations A conservative and non-oscillatory scheme for Vlasov code simulations

Jul 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008ep%26s...60..773u&link_type=abstract

Earth, Planets and Space, Volume 60, p. 773-779.

Computer Science

17

Scientific paper

A new numerical positive interpolation technique for conservation laws and its application to Vlasov code simulations are presented. In recent Vlasov simulation codes, the Vlasov equation is solved based on the numerical interpolation method because of its simplicity of algorithm and its ease of programming. However, a large number of grid points are needed in both configuration and velocity spaces to suppress numerical diffusion. In this paper we propose a new high-order interpolation scheme for Vlasov simulations. The current scheme is non-oscillatory and conservative and is well-designed for Vlasov simulations. This is compared with the latest interpolation schemes by performing one-dimensional electrostatic Vlasov simulations.

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