Statistical modeling of rarefied gas flows based on the majorant frequency principle

In an earlier study (Ivanov and Rogazinskii, 1988), the majorant frequency principle has been used to develop an efficient scheme for modeling collisional relaxation, with the computational effort being linearly dependent on the number of particles. Here, this principle, which combines ideas of the maximum cross section method and the method of additional randomization, is extended to the spatially inhomogeneous case, making it possible to develop new efficient schemes for modeling spatially inhomogeneous flows of a rarefied gas. An illustrative example is presented.