Article,

Performance and optimization of direct implicit particle simulation

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Journal of Computational Physics, 81 (1): 151 - 168 (1989)
DOI: DOI: 10.1016/0021-9991(89)90068-5

Abstract

Performance characteristics obtained from particle simulations using the direct implicit method are presented. Parameter studies of simulation behavior for an expanding plasma slab have been made determining code performance as functions of omegape Deltat and Deltax/lambdaDe, where omegape is the plasma frequency, lambdaDe, is the electron Debye length, Deltat is the time step, and Deltax is the grid spacing. A range of time steps omegape Deltat less-than-or-equals, slant 200 and mesh sizes Deltax/lambdarmDe less-than-or-equals, slant 100 were explored. Accurate results for low-frequency phenomena resolved by the time step can be obtained without limit on omegape Deltat in this range (and higher) with a careful choice of algorithms. This choice of algorithms defeats a potential nonlinear instability that occurs when (omegape Deltat)2 exceeds the number of particles per cell.

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