A Theoretical Model for Cross-Scale Simulation of Collisionless Plasmas in Space

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7827 Kinetic And Mhd Theory, 7843 Numerical Simulation Studies, 7859 Transport Processes, 7867 Wave/Particle Interactions

Scientific paper

A cross-scale plasma simulation model is proposed in this study. Governing equations for cross-scale plasma simulations are derived analytically and self-consistently based on three time scales: (1) the electron time scale, which ranges approximately from 0.1 τ e to 0.1 τ i; (2) the ion time scale, which ranges approximately from 0.1 τ i to 100 τ i; and (3) the macro time scale, which ranges from quasi-MHD time scale (100 τ i) to ideal-MHD time scale (τ >> τ i ). Coupling effects between different time scales are included in each set of governing equations. In our model, large-scale simulations will provide initial and boundary conditions for small-scale simulations. On the other hand, small-scale simulations will provide large-scale simulation with information on anomalous dissipations due to nonlinear wave-particle interactions. Since meso- and micro-scale simulations will be carried out only at a few sampled points near a strong gradient region, the boundary conditions of the meso- and micro-scale simulations are in general non-periodic in our model. A numerical method that can be used to solve kinetic governing equations with non-periodic boundary conditions will be discussed.

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