A numerical model of the nonequilibrium innermost coma region in activ
e comets is proposed. The presence of dust grains is neglected for a f
irst approximation. We consider the Knudsen layer adjacent to the phas
e boundary, where the velocity distribution function relaxes to the Ma
xwell equilibrium distribution function and the gas macrocharacteristi
cs vary severalfold. Analytical relations between the characteristics
of the gas flow on the boundaries of this layer are examined. Three nu
merical models of the nonequilibrium layer are then presented: (1) sub
limation of the water ice from a plane homogeneous surface; (2) statio
nary and non-stationary sublimation of a two-component gas mixture inc
luding CO2; (3) sublimation of water ice through a porous dust mantle.
The models are based on well known methods for the solution of rarefi
ed gas dynamics problems: the Test Particle method and the Direct Simu
lation Monte Carlo method with weights. The proposed weighting scheme
allows to operate efficiently a model involving the same small number
of particles for each component of the gas mixture independent of thei
r real number densities, and to solve spatially inhomogeneous problems
using the same number of test particles in each spatial cell during t
he whole simulation for an arbitrary nonstationary distribution of the
gas density. For case (I)we show that the emergent flow is,slightly s
upersonic and that essentially complete thermalization occurs within s
imilar to 10 mean free paths from the surface. For case (2) we find fo
r stationary sublimation that both components attain a unique velocity
of outflow but significantly different temperatures. For case(3)we de
monstrate the influence of scattering from the mantle surface on the o
utflow properties: such scattering increases the gas density and also
leads to extra heating of the gas. (C) 1998 Elsevier Science Ltd. All
rights reserved.