Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows

C.M. Oishi, F.P. Martins, Murilo F. Tome, Jose Cuminato, Sean Mckee

Research output: Contribution to journalArticle

41 Citations (Scopus)
112 Downloads (Pure)


In this paper we present a finite difference method for solving two-dimensional viscoelastic unsteady free surface flows governed by the single equation version of the eXtended Pom-Pom (XPP) model. The momentum equations are solved by a projection method which uncouples the velocity and pressure fields. We are interested in low Reynolds number flows and, to enhance the stability of the numerical method, an implicit technique for computing the pressure condition on the free surface is employed. This strategy is invoked to solve the governing equations within a Marker-and-Cell type approach while simultaneously calculating the correct normal stress condition on the free surface. The numerical code is validated by performing mesh refinement on a two-dimensional channel flow. Numerical results include an investigation of the influence of the parameters of the XPP equation on the extrudate swelling ratio and the simulation of the Barus effect for XPP fluids.
Original languageEnglish
Pages (from-to)165-179
Number of pages15
JournalJournal of Non-Newtonian Fluid Mechanics
Issue number3-4
Early online date12 Nov 2010
Publication statusPublished - Feb 2011


  • free surface flows
  • implicit techniques
  • viscoelastic fluids
  • Pom-Pom model
  • finite difference method
  • extrudate swell

Fingerprint Dive into the research topics of 'Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows'. Together they form a unique fingerprint.

Cite this