  The Navier-Stokes transport coefficients of a granular dense fluid of smooth
inelastic hard disks or spheres are explicitly determined by solving the
inelastic Enskog equation by means of Grad's moment method. The transport
coefficients are explicitly determined as functions of the (constant)
coefficient of restitution and the solid volume fraction. In addition, the
cooling rate is also calculated to first order in the spatial gradients. The
calculations are performed for an arbitrary number of dimensions. The results
are not limited to small dissipation and are expected to apply at moderate
densities. It is found that the expressions of the Navier-Stokes transport
coefficients and the cooling rate agree with those previously obtained from the
Chapman-Enskog method by using the leading terms in a Sonine polynomial
expansion. This shows the equivalence between both methods for granular fluids
in the Navier-Stokes approximation. A comparison with previous results derived
from Grad's moment method for inelastic disks and spheres is also carried out.
