A finite element simulation of the Weissenberg effect, i.e. the rod climbing of viscoelastic fluids, is presented. The flow features axisymmetric swirling, free surface, gravity, surface tention, centrifugal force and all six viscoelastic stresses. An operator splitting algorithm is employed to solve the non-linear system of equations governing the upper-convected Maxwell or the Phan-Thien-Tanner fluid. An orthogonal trajectory scheme applicable to unstructured as well as structured grids is adopted to construct the mesh after each free surface updating. Comparison between numerical and experimental results shows good agreement.
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