Regarding a benchmark problem: rarefied gas flow through a rough-surfaced channel

Rarefied gas flow through a modeled rough-surfaced channel is presented as a benchmark problem in rarefied gas dynamics. To meet the benchmark problem requirements, a short set of problem-solving parameters were employed, in particular, a fairly simple model of surface roughness and a free molecular regime of gas flow. A test particle Monte Carlo method was applied for a high-accuracy computation of the gaseous transmission probability through a modeled rough-surfaced channel. For the gas-surface scattering law, the diffuse as well as Maxwell and Cercignani–Lampis models have been used. A comparison was carried out between our results and theoretical and numerical data available in the open literature.