Fluid/kinetic hybrid moment description of plasmas via a Chapman--Enskog-like approach

A combined fluid and kinetic description of magnetically confined plasmas is developed via a Chapman--Enskog-like procedure. This approach uses the density, energy, momentum, and heat flow conservation equations, and the kinetic equation to recast the plasma kinetic equation with a full Fokker--Planck collision operator into an equation for F, the departure of the distribution function from a ''dynamic'' Maxwellian. A density, momentum, and energy conserving collision operator model is adopted in deriving the final form of the recast kinetic equation. Both general and drift-kinetic forms of the kinetic equation for F are presented. Closure of the fluid moment equations through calculation of the anisotropic stress tensor Π and anisotropic heat stress tensor Θ using the kinetic solution for F is discussed