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AN EXAMPLE

Fast ions scattering in a fixed background of electrons. The kinetic equation for the ions is
 equation394
where vt2=Te/mi. Treat only the one-dimensional case.

Chapman Engskog procedure gives a fluid equation for this system in the limit tex2html_wrap_inline840. The zeroth- and first-order distributions are
eqalignno408
The resulting fluid equation is a simple diffusion equation
 equation419
There is only one fluid equation since the collision operator only conserves density. This simple diffusion equation also has an analytic solution in terms of Green's functions.

Scheme involves solving eqs. (4) and (7) simultaneously. Number conservation for the combined system gives
equation431
and transfer is implemented with
equation436


next up previous
Next: DG PREPROCESSOR Up: Advances in Neutral Transport Previous: OTHER ISSUES

Daren Stotler
Wed Nov 26 10:29:07 EST 1997