A NUMERICAL METHOD FOR COMPUTING ASYMPTOTIC STATES AND OUTGOING DISTRIBUTIONS FOR KINETIC LINEAR HALF-SPACE PROBLEMS

摘要

Linear half-space problems can be used to solve domain decomposition problems between Boltzmann and aerodynamic equations. A new fast numerical method computing the asymptotic states and outgoing distributions for a linearized BGK half-space problem is presented. Relations with the so-called variational methods are discussed. In particular, we stress the connection between these methods and Chapman-Enskog type expansions. [References: 23]