Bl. Holian et al., MODELING SHOCK-WAVES IN AN IDEAL-GAS - GOING BEYOND THE NAVIER-STOKESLEVEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(1), 1993, pp. 24-27
We model a shock wave in an ideal gas by solving a modified version of
the compressible Navier-Stokes equations of hydrodynamics, where, fol
lowing an earlier conjecture by Holian [Phys. Rev. A 37, 2562 (1988)),
we use the temperature in the direction of shock propagation T(xx), r
ather than the average temperature T-(T(xx)+T(yy)+T(zz))/3, in the eva
luation of the linear transport coefficients. The results are found to
agree much better with the molecular-dynamics simulations of Salomons
and Mareschal [Phys. Rev. Lett. 69, 269 (1992)] than standard Navier-
Stokes theory.