Numerical Solution of the Upper-Convected Maxwell Model for Three-Dimensional Free Surface Flows

Murilo F. Tome, Renato A. P. Silva, Cassio M. Oishi, Sean McKee
2009 Communications in Computational Physics  
This work presents a numerical method for solving three-dimensional viscoelastic free surface flows governed by the Oldroyd-B constitutive equation. It is an extension to three dimensions of the technique introduced by Tomé et al. [1] (see also [5]). The governing equations are solved by a finite difference method on a 3D-staggered grid. Marker particles are employed to describe the fluid providing the visualization and the location of the fluid free surface. As currently implemented, the
more » ... lemented, the numerical method presented in this work can simulate three-dimensional free surface flows of an Oldroyd-B fluid. The numerical technique presented in this paper is validated by using an exact solution of the flow of an Oldroyd-B fluid inside a pipe. The numerical simulation of the time dependent extrudate swell and jet buckling of viscoelastic fluids are presented.
doi:10.4208/cicp.2009.v6.p367 fatcat:wfg3g56blbfhnneyuhhyrsfouq