A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation

The completely conservative di erence schemes for the nonlinear Landau – Fokker – Planck equation

Conservativity and complete conservativity of nite di erence schemes are considered in connection with the nonlinear kinetic Landau–Fokker–Planck equation. The characteristic feature of this equation is the presence of several conservation laws. Finite di erence schemes, preserving density and energy are constructed for the equation in oneand two-dimensional velocity spaces. Some general method...

Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows

We consider a system coupling the incompressible Navier–Stokes equations to the Vlasov– Fokker–Planck equation. Such a problem arises in the description of particulate flows. We design a numerical scheme to simulate the behavior of the system. This scheme is asymptotic-preserving, thus efficient in both the kinetic and hydrodynamic regimes. It has a numerical stability condition controlled by t...

Pseudo-spectral ‎M‎atrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation

This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.

Iterative methods for solving non linear Fokker-Planck equation

Numerical Studies and Simulation of the Lower Hybrid Waves Current Drive by using Fokker – Planck Equation in NSST and HT-7 Tokamaks

Recent experiments on the spherical tokamak have discovered the conditions to create a powerful plasma and ensure easy shaping and amplification of stability, high bootstrap current and confinement energy. The spherical tours (ST) fusion energy development path is complementary to the tokamak burning plasma experiment such as NSTX and higher toroidal beta regimes and improves the design of a po...