A method for the continuous processing of a product such as a vegetable or animal oil or fat. The processing occurs via a separation into two liquid phases and a solid phase. The method step includes processing the product, the processing occurring in a centrifuge arranged as a separator, the separator including a rotatable drum, a disk stack having risers arranged in the drum, a product feed having a feed tube, a first separator disk to discharge a lighter liquid phase from the drum, a second separator disk to discharge a heavier liquid phase from the drum, and a solids discharge opening to discharge a solids phase from the drum. A separation zone is formed between the lighter phase and the heavier phase in the separator.