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 and anisotropic heat stress tensor using the kinetic solution for F is discussed.