## Space Plasma SimulationThe aim of this book is twofold: to provide an introduction for newcomers to state of the art computer simulation techniques in space plasma physics and an overview of current developments. Computer simulation has reached a stage where it can be a highly useful tool for guiding theory and for making predictions of space plasma phenomena, ranging from microscopic to global scales. The various articles are arranged, as much as possible, according to the - derlying simulation technique, starting with the technique that makes the least number of assumptions: a fully kinetic approach which solves the coupled set of Maxwell’s equations for the electromagnetic ?eld and the equations of motion for a very large number of charged particles (electrons and ions) in this ?eld. Clearly, this is also the computationally most demanding model. Therefore, even with present day high performance computers, it is the most restrictive in terms of the space and time domain and the range of particle parameters that can be covered by the simulation experiments. It still makes sense, therefore, to also use models, which due to their simp- fying assumptions, seem less realistic, although the e?ect of these assumptions on the outcome of the simulation experiments needs to be carefully assessed. |

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### Contents

Parallel 3D Electromagnetic Particle Code | 25 |

Full Particle Electromagnetic Simulation of Collisionless Shocks | 54 |

Simulation of Electron Beam Instabilities | 79 |

Kinetic Simulation of Inhomogeneous Plasma | 93 |

Low Noise Electrostatic and Electromagnetic Deltaf | 109 |

Particle Simulation of Dusty Plasmas | 125 |

Hall Magnetohydrodynamics A Tutorial | 166 |

Global Magnetohydrodynamics A Tutorial | 212 |

Adaptive Mesh Refinement | 247 |

Finite Volume TVD Schemes for Magnetohydrodynamics | 275 |

Global Magnetohydrodynamic Simulation | 296 |

Numerical Schemes for the Analysis of Turbulence A Tutorial | 315 |

345 | |

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### Common terms and phrases

3-dimensional Alfvén speed Alfvén waves algorithm altitude auroral zone boundary conditions calculation cell collisionless shocks Comput conservation convection coupling Debye length density distribution function dusty plasma dynamics earth’s magnetosphere electric field electromagnetic electron beam electron holes electrostatic energy example field-aligned current finite fluid flux frequency full particle simulations Geophys global MHD grid points Hall drift wave Hall MHD High Performance Fortran HPF/JA hybrid codes hybrid simulations initial interaction ionosphere kinetic Landau damping Lett linear magnetic reconnection magnetohydrodynamic magnetopause magnetosphere magnetotail Maxwell’s equations method MHD code MHD equations MHD simulation mode neutral nonlinear parallel parameters particle-in-cell perturbation phase Phys PIC simulations Plasma Physics potential pressure processes processors propagation region scale scheme self-consistent shock front shown in Fig shows simulation code solar wind solution solve source term spatial speed step structure substorm techniques temperature thermal TRISTAN code variables vector velocity VPP Fortran Winske