Current advance method and cyclic leapfrog for 2D multispecies hybrid plasma simulations
Journal of Computational Physics
The semi-Lagrangian method for the numerical resolution of the Vlasov equation
Journal of Computational Physics
Plasma Physics Via Computer
A numerical scheme for the integration of the Vlasov--Maxwell system of equations
Journal of Computational Physics
Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system
Journal of Computational Physics
Multi-moment advection scheme for Vlasov simulations
Journal of Computational Physics
Hi-index | 31.45 |
A new scheme for numerical integration of the 1D2V relativistic Vlasov-Maxwell system is proposed. Assuming that all particles in a cell of the phase space move with the same velocity as that of the particle located at the center of the cell at the beginning of each time step, we successfully integrate the system with no artificial loss of particles. Furthermore, splitting the equations into advection and interaction parts, the method conserves the sum of the kinetic energy of particles and the electromagnetic energy. Three test problems, the gyration of particles, the Weibel instability, and the wakefield acceleration, are solved by using our scheme. We confirm that our scheme can reproduce analytical results of the problems. Though we deal with the 1D2V relativistic Vlasov-Maxwell system, our method can be applied to the 2D3V and 3D3V cases.