The results of numerical modeling of the processes of drying and regeneration of the adsorbent by heat of compression are presented on the example of the scheme of adsorption drying with the separation of the air flow on the stage of the cooling of the adsorbent. The dynamics of temperature and humidity parameters within the technological columns at all three stages of the adsorption and regeneration cycle was evaluated. It is shown that the considered scheme of adsorption drying allows to provide rather stable average dew point of the dried compressed air without losses on the adsorbent purging.