The invention relates to a generator and its operation and use for generating toroidal and spatial vortices in a liquid. It comprises a rotationally symmetrical stator housing with an inlet opening and an eccentric outlet opening. It further comprises a rotor rotatably arranged in the stator housing with radially outwardly extending channels in constant fluid connection to the inlet opening. The rotor comprises a rotor disc, radially outside of the rotor with a side surface with inner notches in fluid connection to the rotor channels. The stator housing comprises a stator disc comprising a side surface with stator notches. When these notches face each other due to rotation of the rotor disc, a periodical liquid flow from the inner notches to the stator notches is formed and toroidal vortices are generated in the portioned liquid by shear stress as the portions of liquid move back and forth in the notches.