E. Alec Johnson: References for Plasma Computation
Up to Computational Science Notes
Plasma modeling
- Balance laws (derivations)
- A book-keeping derivation of multi-fluid equations
from a kinetic description of a plasma
(written in my beginnings)
[.dvi]
[.pdf]
- A book-keeping derivation of 1-fluid equations
from multi-fluid equations
(written in my beginnings)
[.dvi]
[.pdf]
[.tex]
- A compact elementary derivation
of Magnetohydrodynamics (MHD) and two-fluid plasma equations.
In five pages:
[.dvi] ,
[.pdf] ,
[.tex] .
On two sides of one sheet:
[.ps],
[.pdf].
Makefile to produce this stuff:
Makefile
- A brief derivation of Ohm's law and extended MHD
starting from nondimensionalized two-fluid equations.
[.pdf]
(Invokes simplifying assumptions such as
quasineutrality right away to get to specific results.)
- A careful derivation of Ohm's law and extended MHD
starting from statistical mechanics.
[.pdf]
- General moment evolution.
[.pdf]
- Closure
Plasma analysis
- Waves in Plasmas (eigenstructure)
- waves in MHD (in primitive variables only)
[.pdf]
- waves in Maxwell's equations
(including correction potentials)
[.pdf]
- waves in 10-moment gas-dynamics
(assuming Gaussian pressure tensor)
[.pdf]
- Source term
- Problems
- The Geospace Environmental Modeling (GEM)
magnetic reconnection challenge problem
[.pdf]
- Steady reconnection problems [.pdf]
- X-point analysis [.pdf]
Numerical methods for plasma