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Plasma Physics: Kinetic Processes and Current Deposition

This article discusses computational methods for kinetic processes in plasma physics, focusing on current deposition schemes and the Zigzag scheme in two-dimensional systems. It also explores charge conservation and the establishment of static fields dynamically.

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Plasma Physics: Kinetic Processes and Current Deposition

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  1. Ken Nishikawa National Space Science & Technology Center/UAH Computational Methods for Kinetic Processesin Plasma Physics September 8, 2011

  2. Context • Three-dimensional current deposit by Villasenor & Buneman • Zigzag scheme in two-dimensional systems by Umeda

  3. Current deposit scheme (2-D) y x

  4. 3D current deposit Jx Jx Jx Jx

  5. 3D current deposit Particle moves from between t= −1/2 and t = +1/2 at t = 0 Jx=   Jy at (i+1, j+1/2, k+1) Jz at (i+1, j+1, k+1/2)       

  6. The total fluxes into the cell indexed i+1, j+1, k+1 The difference between the particle fractions protruding into the cell before and after the move.

  7. Staggered mesh with E and B

  8. Current deposition seven-boundary move Δx1=0.5 −x, Δy1=(Δy/Δx)Δx1, x1=−0.5, y1=y+Δy1, Δx2=Δx−Δx1, Δy2=Δy−Δy1

  9. Current deposition ten-boundary move Δx1=0.5 −x, Δy1=(Δy/Δx)Δx1, x1=−0.5, y1=y+Δy1, Δy2=0.5y−y−Δy1, Δx2=(Δx/Δy)Δy2, x2=Δx2−0.5, y2=0.5, Δx3=Δx−Δx1−Δx2, Δy3=Δy−Δy1−Δy2

  10. Current deposit scheme (2-D) y x

  11. Charge and current deposition Current deposition can take as much time as the mover. More optimized deposits exist (Umeda 2003). Charge conservation makes the whole Maxwell solver local and hyperbolic. Static fields can be established dynamically.

  12. Zigzag scheme in two-dimensional systems i1 =i2 and j1=j2 J2 J1 i2 i1 see Umeda (2003) for detailed numerical method

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