We consider a drop of one liquid suspended in another liquid, which is sheared, as a model of a Couette device.  Numerical simulations are conducted with an in-house volume-of-fluid (VOF) code, with either a continuous surface force (CSF) algorithm with piecewise linear interface reconstruction, or with a more accurate but computationally more intensive paraboloid representation of the interface (PROST).  The methodology will be presented.  The Oldroyd-B and Giesekus constitutive models are implemented.  Comparison with recent experimental results of P. Moldenaers (KU-Leuven) will be discussed.