Paulo, Gilcilene S. [UNESP]Mompean, GilmarOishi, Cassio M. [UNESP]Tomé, Murilo F.2018-12-112018-12-112015-01-01PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015, p. 767-774.http://hdl.handle.net/11449/167948This work presents the development of an algebraic extra-stress model (AESM) for modelling viscoelastic flows governed by the constitutive Finite Extendable Non-linear Elastic-Chilcott and Rallison (FENE-CR) differential model. An algorithm for solving the governing equations for incompressible flows of FENE-CR fluids by the AESM model is given. Moreover, by considering fully developed flows, analytic expressions for the conformation tensor A and velocity are derived. These analytic solutions are employed to verify the convergence and accuracy of the numerical methodology for simulating flows modelled by this new AESM.767-774engAlgebraic modelAnalytic solutionFENE-CR modelFinite difference methodTrabalho apresentado em eventoAcesso aberto2-s2.0-84938723151