In this report,a charge preserving numerical resolution of the 1D VlasovAmp`ere equation is achieved,with a forward Semi-Lagrangian method introduced in[10].The Vlasov equation belongs to the kinetic way of simulating...In this report,a charge preserving numerical resolution of the 1D VlasovAmp`ere equation is achieved,with a forward Semi-Lagrangian method introduced in[10].The Vlasov equation belongs to the kinetic way of simulating plasmas evolution,and is coupled with the Poisson’s equation,or equivalently under charge conservation,the Amp`ere’s one,which self-consistently rules the electric field evolution.In order to ensure having proper physical solutions,it is necessary that the scheme preserves charge numerically.B-spline deposition will be used for the interpolation step.The solving of the characteristics will be made with a Runge-Kutta 2 method and with a Cauchy-Kovalevsky procedure.展开更多
文摘In this report,a charge preserving numerical resolution of the 1D VlasovAmp`ere equation is achieved,with a forward Semi-Lagrangian method introduced in[10].The Vlasov equation belongs to the kinetic way of simulating plasmas evolution,and is coupled with the Poisson’s equation,or equivalently under charge conservation,the Amp`ere’s one,which self-consistently rules the electric field evolution.In order to ensure having proper physical solutions,it is necessary that the scheme preserves charge numerically.B-spline deposition will be used for the interpolation step.The solving of the characteristics will be made with a Runge-Kutta 2 method and with a Cauchy-Kovalevsky procedure.
