The temperature-jump problem based on the CESmodel of the linearized Boltzmann equation

An analytical discrete-ordinates method is used to solvethe temperature-jump problem as defined by a synthetic-kernelmodel of the linearized Boltzmann equation. In particular, thetemperature and density perturbations and the temperature-jumpcoefficient defined by the CES model equation are obtained(essentially) analytically in terms of a modern version of thediscrete-ordinates method. The developed algorithms areimplemented for general values of the accommodation coefficient toyield numerical results that compare well with solutions derivedfrom more computationally intensive techniques.