Abstract: | An analytical discrete-ordinates method is used to solve
the temperature-jump problem as defined by a synthetic-kernel
model of the linearized Boltzmann equation. In particular, the
temperature and density perturbations and the temperature-jump
coefficient defined by the CES model equation are obtained
(essentially) analytically in terms of a modern version of the
discrete-ordinates method. The developed algorithms are
implemented for general values of the accommodation coefficient to
yield numerical results that compare well with solutions derived
from more computationally intensive techniques. |