Abstract: For separating solids contents from a pulp, the pulp is concentrated in a filter device by intense movement up to a predetermined solid matter content. In the filter device, the dynamic pressure and Venturi effects are utilized to support the filtering process. During the discharge of the filtrate, pulp is supplied to keep the filter device in filled condition. The concentrated pulp is batch-wise transferred into a pressing chamber in which the discharged batch is mechanically pressed-out. The pressing cake generated thereby is mechanically comminuted.