El Hadj, M., Tanguy, P.A. & Fortin, A. Rheol Acta (1990) 29: 342. doi:10.1007/BF01339889
Two decoupled methods for the finite element solution of the planar stick-slip transition problem with Oldroyd-B fluids, namely the method of characteristics and the Lesaint-Raviart technique, are presented and compared. These procedures are used for the local treatment of the stress transport equation imbedded in the constitutive law and allow the approximation of stresses with discontinuous shape functions. Computations are carried out up to a Deborah number of 4 and the methods are shown to yield fairly similar results.
Oldroyd-B fluids die flows stick-slip problem finite element method