Ultrasonic scalpels are well-known for their capability of cutting tissue. While previous studies have considered waves emitted into tissue from a blade-edge translated along the axis of the blade, limited attention has been paid on scalpels with the blade moving transversely. In this simulation study, our objective is to broaden understanding of the behaviour of different wave modes emitted from a transversely oscillating scalpel blade; modelled as a wedge embedded in viscoelastic material representing soft tissue. We observed shear waves emitted from the tip into the modelled tissue and surface waves emitted along the tissue surface. The results may give insights to cutting mechanisms associated with transversely moving ultrasonic scalpel.