Statistics – Computation
Scientific paper
May 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jcoph..50..270k&link_type=abstract
Journal of Computational Physics (ISSN 0021-9991), vol. 50, May 1983, p. 270-306.
Statistics
Computation
16
Electron Plasma, Fourier Transformation, Space Environment Simulation, Space Plasmas, Amplitudes, Conservation Laws, Error Analysis, Landau Damping, Magnetohydrodynamic Stability, One Dimensional Flow
Scientific paper
A numerical method is presented for studying one-dimensional electron plasma evolution under typical interplanetary conditions. The method applies the Fourier-Fourier transform approach to a plasma model that is a generalization of the electrostatic Vlasov-Poisson system of equations. Conservation laws that are modified to include the plasma model generalization and also the boundary effects of nonperiodic solutions are given. A new conservation law for entropy in the transformed space is then introduced. These conservation laws are used to verify the numerical solutions. A discretization error analysis is presented. Two numerical instabilities and the methods used for their suppression are treated. It is shown that in interplanetary plasma conditions, the bump-on-tail instability produces significant excitation of plasma oscillations at the Bohm-Gross frequency and its second harmonic. An explanation of the second harmonic excitation is given in terms of wave-wave coupling during the growth phase of the instability.
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