A conservative and non-oscillatory scheme for Vlasov code simulations

Abstract

A new numerical positive interpolation technique for conservation laws and its application to Vlasov code sihnulations 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 simulafions. 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. Copyright © The Society of Geomagnetism and Earth, Planetary and Space Sciences (SGEPSS).