Fj. Uribe et al., 2 KINETIC TEMPERATURE DESCRIPTION FOR SHOCK-WAVES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 3209-3222
A two kinetic temperature displaced Maxwellian is used as the weight f
unction for a Hermite expansion of the distribution function. The expa
nsion is cut up to fourteen moments following Grad's theory. The momen
t equations are used to derive under a Knudsen type expansion what one
may call two-temperature Navier-Stokes equations (2T-NS). The 2T-NS e
quations are then solved numerically, for a plane shock wave, and a co
mparison between Navier-Stokes, Holian theory, and results from molecu
lar dynamics and Monte Carlo is performed.