High-resolution finite element simulation of 4:1 planar contraction flow of viscoelastic fluid

Ju Min Kim, Chongyoup Kim, Jeong Ho Kim, Changkwon Chung, Kyung Hyun Ahn, Seung Jong Lee

Research output: Contribution to journalArticlepeer-review

57 Citations (Scopus)


In this work, we present high-resolution solutions for viscoelastic 4:1 planar contraction flow problems using a transient finite element method based on the fractional step method (FSM) and stabilization techniques (DEVSS-G/DG) with linear equal-order interpolation function. The Oldroyd-B model was used as the constitutive equation. A parallel multi-frontal algorithm was implemented to enhance computational speed and all solutions were obtained on a parallel machine. The vortex intensity and the re-attachment length of corner vortex show good mesh-convergent behavior and are compared with previous results from the literature. In particular, the present results are in good agreement with the predictions of the high-resolution finite volume method of Alves et al. [15]. This may be the first case that quantitative agreement is obtained between studies using different numerical methods for the benchmark problem of 4:1 planar contraction flow. As there has been little quantitative agreement in the previous investigations and only few simulation results with highly refined meshes exit, this study may well be regarded as accurate and meaningful in the sense that reasonable convergence is achieved for prediction of 4:1 planar contraction flow using transient finite element methods.

Original languageEnglish
Pages (from-to)23-37
Number of pages15
JournalJournal of Non-Newtonian Fluid Mechanics
Issue number1
Publication statusPublished - 2005 Aug 10

Bibliographical note

Funding Information:
This work was supported by the National Research Laboratory Fund (NRL 400-20030085) of the Ministry of Science and Technology in Korea. The authors acknowledge the support from Korea Institute of Science and Technology Information (KISTI) under the ‘Grand Challenge Support Program’ and the use of the computing system of Supercomputing Center is greatly appreciated.


  • 4:1 Planar contraction flow
  • Fractional step method
  • Viscoelastic flow simulation

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics


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