  The derivation of the multi-temperature generalized Zhdanov closure is
provided starting from the most general form of the left hand side of the
moment averaged kinetic equation with the Sonine-Hermite polynomial ansatz for
an arbitrary number of moments. The process of arriving at the reduced
higher-order moment equations, with its assumptions and approximations, is
explicitly outlined. The generalized multi-species, multi-temperature
coefficients from the authors' previous article are used to compute values of
higher order moments such as heat flux in terms of the lower order moments.
Transport coefficients and the friction and thermal forces for magnetic
confinement fusion relevant cases with the generalized coefficients are
compared to the scheme with the single-temperature coefficients previously
provided by Zhdanov et al. It is found that the 21N-moment multi-temperature
coefficients are adequate for most cases relevant to fusion. Furthermore, the
21N-moment scheme is also tested against the trace approximation to determine
the range of validity of the trace approximation with respect to fusion
relevant plasmas. Possible refinements to the closure scheme are illustrated as
well, in order to account for quantities which might be significant in certain
schemes such as the drift approximation.
