Аннотация:A highorder accurate method for analyzing twodimensional rarefied gas flows is pro
posed on the basis of a nonstationary kinetic equation in arbitrarily shaped regions. The basic idea
behind the method is the use of hybrid unstructured meshes in physical space. Special attention is
given to the performance of the method in a wide range of Knudsen numbers and to accurate approx
imations of boundary conditions. Examples calculations are provided.