TY - JOUR
T1 - High-resolution finite element simulation of 4:1 planar contraction flow of viscoelastic fluid
AU - Kim, Ju Min
AU - Kim, Chongyoup
AU - Kim, Jeong Ho
AU - Chung, Changkwon
AU - Ahn, Kyung Hyun
AU - Lee, Seung Jong
N1 - 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.
PY - 2005/8/10
Y1 - 2005/8/10
N2 - 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.
AB - 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.
KW - 4:1 Planar contraction flow
KW - DEVSS-G/DG
KW - Fractional step method
KW - Viscoelastic flow simulation
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U2 - 10.1016/j.jnnfm.2005.04.007
DO - 10.1016/j.jnnfm.2005.04.007
M3 - Article
AN - SCOPUS:25844499293
SN - 0377-0257
VL - 129
SP - 23
EP - 37
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
IS - 1
ER -