Computational techniques for investigating processes in plasmas over a broad range of spatial and temporal scales. Investigation of physical processes including electrodynamics, waves and turbulence, space propulsion, spacecraft environmental effects and various laboratory applications. Computational techniques including full Particle-in-Cell (PIC), hybrid (fluid-electron, PIC ion), magnetohydrodynamics MHD and two-fluid methods.
The near-earth space plasma environment has profound effects on radio waves, el3ectrical devices, power systems, satellites, space vehicles, as well as humans. As society becomes more dependent on technologies embedded in this environment, more physical understanding and predictive capabilities in terms of 'space weather' will become crucial. Other critical plasma applications are linked to nuclear fusion energy. The plasma medium is highly variable and highly nonlinear. There may be a broad range of turbulent structure spanning many orders of magnitude. Also, the interaction of objects (e.g. spacecraft, antennas, etc.) imbedded in plasmas is typically a challenging problem. Because of this complexity, computational models have become more important than approximate theoretical models for investigating physical processes and the associated impact on technological systems. This course provides students with techniques to study physical processes in such plasma environments over a relatively broad range of spatial and temporal scales and provides discussion of implications of these processes on modern technology.
Percentage of Course
|1. Introduction: Plasma models, space and time scales||10%|
|2. Electrostatic Particle-in-Cell Model in 1D||10%|
|3. Electrostatic Particle-in-Cell Model in Multiple Dimensions||10%|
|4. Electromagnetic Particle-in-Cell Model||10%|
|5. Electrostatic Hybrid Models||10%|
|6. Electromagnetic Hybrid Models||10%|
|7. Pseudo-spectral Method and Time Stepping Schemes||10%|
|8. Ideal and Resistive Magnetohydrodynamics (MHD)||10%|
|9. Two-Fluid Plasma Model||10%|
|10. Computational Techniques for MHD and Two-Fluid Models||10%|