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Direct statistical Monte-Carlo simulation of rarefied gas molecular flow near a rough surface is studied on the base of analytical approximation of scattering function V and of the momentum and energy exchange coefficients [1-3]. The computation time is reduced due to the expansion of the roughness operatorŜ [2-6], which is used to express the scattering function V on rough surface in the form V =Ŝ V 0 . The representation of the roughness operator is derived that is convenient to use both indoi:10.1063/1.3562687 fatcat:qm6ll3cta5dwpbyctttmfae3wm