Solving viscoelastic free surface flows of a second-order fluid using a marker-and-cell approach

M. F. Tomé, J. L. Doricio, A. Castelo, J. A. Cuminato, S. McKee

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

This work is concerned with the numerical simulation of two-dimensional viscoelastic free surface flows of a second-order fluid. The governing equations are solved by a finite difference technique based on the marker-and-cell philosophy. A staggered grid is employed and marker particles are used to represent the fluid free surface. Full details for the approximation of the free surface stress conditions are given. The resultant code is validated and convergence is demonstrated. Numerical simulations of the extrudate swell and flow through a planar 4:1 contraction for various values of the Deborah number are presented.

Original languageEnglish
Pages (from-to)599-627
Number of pages29
JournalInternational Journal for Numerical Methods in Fluids
Volume53
Issue number4
Early online date20 Sep 2006
DOIs
Publication statusPublished - 10 Feb 2007

Keywords

  • finite difference
  • free surface flow
  • marker-and-cell
  • second-order fluid

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