Journal of Computational Physics
Implicit and conservative difference scheme for the Fokker-Planck equation
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation
Journal of Computational Physics
The completely conservative difference schemes for the nonlinear Landau—Fokker—Planck equation
Journal of Computational and Applied Mathematics - Special issue on applied and computational topics in partial differential equations
Numerical algorithms for axisymmetric Fokker-Planck-Landau operators
Journal of Computational Physics
Fast spectral methods for the Fokker-Planck-Landau collision operator
Journal of Computational Physics
Numerical study on Landau damping
Physica D
Conservative numerical schemes for the Vlasov equation
Journal of Computational Physics
Journal of Computational Physics
Plasma Physics Via Computer
Numerical Analysis of Conservative and Entropy Schemes for the Fokker--Planck--Landau Equation
SIAM Journal on Numerical Analysis
Numerical Solution of an Ionic Fokker--Planck Equation with Electronic Temperature
SIAM Journal on Numerical Analysis
A hybrid kinetic-fluid model for solving the Vlasov-BGK equation
Journal of Computational Physics
Quasi-neutral fluid models for current-carrying plasmas
Journal of Computational Physics
A high-order finite-volume algorithm for Fokker-Planck collisions in magnetized plasmas
Journal of Computational Physics
High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications
Journal of Computational Physics
Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in two dimensions
Journal of Computational Physics
An Asymptotically Stable Semi-Lagrangian scheme in the Quasi-neutral Limit
Journal of Scientific Computing
Numerical approximation of the Vlasov-Maxwell-Fokker-Planck system in two dimensions
Journal of Computational Physics
Hi-index | 31.48 |
In this paper, we investigate the approximation of the solution to the Vlasov equation coupled with the Fokker-Planck-Landau collision operator using a phase space grid. On the one hand, the algorithm is based on the conservation of the flux of particles and the distribution function is reconstructed allowing to control spurious oscillations and preserving positivity and energy. On the other hand, the method preserves the main properties of the collision operators in order to reach the correct stationary state. Several numerical results are presented in one dimension in space and three dimensions in velocity.