Three-dimensional DEM (Distinct Element Method) simulations were conducted in order to examine the performance of screw conveyors, which are installed to transport bulk materials as parts of many industrial machines, including mining and construction machinery. To apply the DEM to the analysis of screw conveyors, we added a spiral object and cylinder objects, which correspond to the helical screw, the casing pipe, and the driving shaft of a screw conveyor. These objects are represented analytically to enhance the precision and efficiency when calculating the interaction between objects and particles. Simulations were conducted for some real applications: inclined and other types of screws, as well as the basic types (horizontal and vertical). Results were compared with previous work and empirical equations. It is concluded that this method is sufficiently well-developed and useful to analyse various kinds of screw conveyors.