Numerical solution of a kinetic equation for the evaporation-condensation problem (Q1571185)

A problem of a steady radial gas flow between two infinitely long coaxial cylinders with boundary conditions of evaporation (emission) and condensation (absorption) is formulated for a nonlinear kinetic equation with a model operator of collisions. This problem is solved by the finite difference method. A numerical algorithm with the separation of discontinuities of the distribution function is constructed. The effect of discontinuites on the accuracy of the solution is studied. Considerable attantion is paid to the study of the flow from the inner evaporation cylinder to the absolutely absorbent outer one. The removal of the outer cylinder results in the limit mode of the flow.