Comparison of numerical interpolation schemes for one-dimensional electrostatic Vlasov code
نویسندگان
چکیده
We discuss numerical interpolation schemes used in Vlasov codes. An improved conservative semi-Lagrangian scheme is compared with the latest nonconservative and conservative schemes for a long run-time nonlinear problem of the beam-plasma interaction with respect to the mass and energy conservations.
منابع مشابه
Numerical Method for Eulerian Vlasov Simulation Based on Multi-Moment Scheme∗)
A new scheme referred to as the multi-moment (MM) scheme is explored to develop a more reliable Vlasov code from the viewpoint of numerical properties. The MM scheme is based on the Eulerian approach, where spatial derivatives are evaluated by interpolation functions locally constructed by not only grid values but also 0th-, 1st-, and 2nd-order moment values between grids, which largely increas...
متن کاملبررسی پراکندگی رامان تحریکی با بهکارگیری معادله نسبیتی ولاسوف
Backward stimulated Raman scattering using one-dimensional relativistic Vlasov code is investigated. For conditions similar to those of Single-Hot-Spot experiments, the growth and saturation of SRS are studied. Analysis of electron distribution function, longitudinal electrostatic fields, transverse electromagnetic fields, and electron density shows that kinetic effects play an important role i...
متن کاملشبیهسازی نسبیتی معادله ولاسوف برای انبساط پلاسما به خلاء
In this study, relativistic Vlasov simulation of plasma for expansion of collisionless plasma for into vacuum is presented. The model is based on 1+1 dimensional phase space and electrostatic approximation. For this purpose, the electron dynamics is studied by the relativistic Vlasov equation. Regardless of the ions temperature, fluid equations are used for their dynamics. The initial electro...
متن کاملVlasov-code simulation
For decades kinetic space plasma simulation, i.e. the solution of Vlasov-Maxwell equations, has been dominated by PIC (Particle-In-Cell) codes that utilize the motion of the particles along the characteristics of the Vlasovequation for a LagrangeEuler approach reducing the solution of the Vlasov advection type PDE (Partial Differential Equation) to the solution of ODEs (Ordinary Differential Eq...
متن کاملComparison of two Eulerian solvers for the four-dimensional Vlasov equation: Part I
This paper presents two methods for solving the four-dimensional Vlasov equation on a grid of the phase space. The two methods are based on the semi-Lagrangian method which consists in computing the distribution function at each grid point by following the characteristic curve ending there. The first method reconstructs the distribution function using local splines which are well suited for a p...
متن کامل