Implicit time integration for plasma simulation

Journal Article · Thu Apr 01 04:00:00 EST 1982 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(82)90002-X· OSTI ID:5091207

Cohen, B I; Langdon, A B; Friedman, A

To increase the size of the time step, and threrby extend the applicability of kinetic plasma simulation, analysis of the stability and accuracy of implicit time integration schemes for plasma particle-in-cell simulation and the synthesis of new algorithms have been undertaken. Three classes of implicit algorithms are considered in general form. Stability and accuracy calculations provide guidelines for the design and application of implicit simulation algorithms, as illustrated in the construction of new difference schemes with desirable properties. Of particular interest are the relaxation of stability constraints on the time step, strong damping of unwanted high-frequency modes, accuracy of the simulation of low-frequency phenomena, numerical secular acceleration, and numerical stability of fast and slow space-charge waves. The potency of higher order accurate differencing schemes in reducing undesirable numerical effects is demonstrated.

• Research Organization: Lawrence Livermore National Laboratory, University of California, Livermore, California 94550
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5091207
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 46:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
ALGORITHMS
DISPERSION RELATIONS
ELECTRONIC EQUIPMENT
EQUIPMENT
HARMONIC OSCILLATORS
HEATING
ITERATIVE METHODS
MATHEMATICAL LOGIC
OSCILLATORS
PLASMA HEATING
PLASMA SIMULATION
PLASMA WAVES
SIMULATION
STABILITY