A numerical method for solving the Vlasov equation

Technical Report · Mon Feb 01 04:00:00 EST 1982

OSTI ID:6506542

Satofuka, N

A numerical procedure is derived for the solution of the Vlasov-Poisson system of equations in two phase-space variables. Derivatives with respect to the phase-space variables are approximated by a weighted sum of the values of the distribution function at property chosen neighboring points. The resulting set of ordinary differential equations is then solved by using an appropriate time intergration scheme. The accuracy of the proposed method is tested with some simple model problems. The results for the free streaming case, linear Landau damping, and nonlinear Landau damping are investigated and compared with those of the splitting scheme. The proposed method is found to be very accurate and efficient.

• Research Organization: National Aeronautics and Space Administration, Moffett Field, CA (USA). Ames Research Center; Kyoto Technical Univ.
• OSTI ID: 6506542
• Report Number(s): NASA-TM-81339
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
BOLTZMANN-VLASOV EQUATION
DAMPING
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
EQUATIONS
FUNCTIONS
LANDAU DAMPING
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION