The development of a numerical technique for simulating axissimetric viscoelastic free surface flows using the PTT constitutive equation is proposed in this work. The equations describing the numerical technique are solved by the finite difference method on a staggered grid. The fluid is modelledby a Marker-and-Cell type method and an accurate representation of the fluid surface is employed. The full free surface stress conditions are considered. The PTT equation is solved by a high order method, which requires the calculation of the extra-stress tensor on the mesh contours. To validate the numerical technique developed in this work flow predictions for fully developed pipe flow are compared with an analytic solution from the literature. Then, results of complex free surface flows using the PTT equationsuch as the transient extrudate swell problem and the impacting drop onto a rigid plate or liquid are presented.
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