A Numerical Scheme for the Integration of the Vlasov–Maxwell System of Equations

Mangeney, A.; Califano, Francesco; Cavazzoni, Carlo; Trávnı́ček, P.

doi:10.1006/jcph.2002.7071

Cited by 158 publications

(172 citation statements)

References 49 publications

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“…The split method [36,37] is taken to solve Vlasov equation, we split the time-stepping operator into free-streaming in x and motion in v x , then we can get the advection equations. A third order Van Leer scheme (VL3) [38,39] is taken to solve the advection equations. A neutral, fully ionized, non-magnetized CH plasmas (1:1 mixed) with the same temperature of all ion species (T H = T C = T i ) is considered.…”

Section: Vlasov Simulationmentioning

confidence: 99%

Fluid nonlinear frequency shift of nonlinear ion acoustic waves in multi-ion species plasmas in the small wave number region

et al. 2016

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The properties of the nonlinear frequency shift (NFS) especially the fluid NFS from the harmonic generation of the ion-acoustic wave (IAW) in multi-ion species plasmas have been researched by Vlasov simulation. The pictures of the nonlinear frequency shift from harmonic generation and particles trapping are shown to explain the mechanism of NFS qualitatively. The theoretical model of the fluid NFS from harmonic generation in multi-ion species plasmas is given and the results of Vlasov simulation are consistent to the theoretical result of multi-ion species plasmas. When the wave number kλDe is small, such as kλDe = 0.1, the fluid NFS dominates in the total NFS and will reach as large as nearly 15% when the wave amplitude |eφ/Te| ∼ 0.1, which indicates that in the condition of small kλDe, the fluid NFS dominates in the saturation of stimulated Brillouin scattering especially when the nonlinear IAW amplitude is large.

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Section: Vlasov Simulationmentioning

confidence: 99%

Fluid nonlinear frequency shift of nonlinear ion acoustic waves in multi-ion species plasmas in the small wave number region

et al. 2016

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“…The Vlasov-Poisson system of equations is solved for the electron and ion distribution functions, f e (x, v, t) and f i (x, u, t), with the numerical scheme described in Mangeney et al [2002]. A 1D-1V configuration is considered in this study.…”

Section: Modelmentioning

confidence: 99%

Inhibition of type III radio emissions due to the interaction between two electron beams: Observations and simulations

2014

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International audienceWe report the peculiar interaction of two type III bursts observed in the solar wind. As electronbeams propagating on the same magnetic field lines cross, a spectacular depletion of the type III radioemission is observed. We combine observations from the WAVES experiment on board the STEREO missiontogether with kinetic plasma simulations to study the extinction of type III radio emission resulting fromthe interaction between two electron beams. The remote observations enable to follow the electron beamsin the interplanetary medium and show that the level of radiated radio waves is recovered after the beamcrossing. The in situ observations of beam-driven Langmuir waves give evidence for Langmuir decay. Thedensity fluctuations are extracted from in situ observations. The velocity of the beams is independentlyevaluated from in situ observations of decaying Langmuir waves and remote radio observations. The kineticsimulations show that the level of beam-driven Langmuir waves is reduced as the two beams cross. Weshow that the slow beam induced a strong reduction of the quasilinear relaxation of the fast beam, limitingthe amplitude of the generated Langmuir waves. Moreover, in the case of two electron beams, the lack ofLangmuir wave coherence reduces the efficiency of the Langmuir parametric decay. We thus conclude thatthe observed depletion of the type III radio emission is independent of the radio emission mechanism, aslong as it depends on the Langmuir amplitude and coherence

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“…[16][17][18]). The Poisson equation for the electrostatic potential is solved after the first spatial advection step.…”

Section: Mathematical Model and Numerical Approachmentioning

confidence: 99%

“…Both x-advection and v-advection have been performed numerically through an upwind finite difference scheme correct up to third order in spatial and velocity mesh size (this is the so-called Van Leer scheme [16], which has been successfully employed in the collisionless case in many research works, as, for example, in Refs. [19][20][21][22]).…”

Section: Mathematical Model and Numerical Approachmentioning

confidence: 99%

Eulerian simulations of collisional effects on electrostatic plasma waves

et al. 2013

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The problem of collisions in a plasma is a wide subject with a huge historical literature. In fact, the description of realistic plasmas is a tough problem to attach, both from the theoretical and the numerical point of view, and which requires in general to approximate the original collisional Landau integral by simplified differential operators in reduced dimensionality. In this paper, a Eulerian timesplitting algorithm for the study of the propagation of electrostatic waves in collisional plasmas is presented. Collisions are modeled through one-dimensional operators of the Fokker-Planck type, both in linear and nonlinear form. The accuracy of the numerical code is discussed by comparing the numerical results to the analytical predictions obtained in some limit cases when trying to evaluate the effects of collisions in the phenomenon of wave plasma echo and collisional dissipation of Bernstein-Greene-Kruskal waves. Particular attention is devoted to the study of the nonlinear Dougherty collisional operator, recently used to describe the collisional dissipation of electron plasma waves in a pure electron plasma column [M. W. Anderson and T. M. ONeil, Phys. Plasmas 14, 112110 (2007)]. A receipt to prevent the filamentation problem in Eulerian algorithms is provided by exploiting the property of velocity diffusion operators to smooth out small velocity scales.

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A Numerical Scheme for the Integration of the Vlasov–Maxwell System of Equations

Cited by 158 publications

References 49 publications

Fluid nonlinear frequency shift of nonlinear ion acoustic waves in multi-ion species plasmas in the small wave number region

Fluid nonlinear frequency shift of nonlinear ion acoustic waves in multi-ion species plasmas in the small wave number region

Inhibition of type III radio emissions due to the interaction between two electron beams: Observations and simulations

Eulerian simulations of collisional effects on electrostatic plasma waves

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