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

doi:10.1002/fld.1298

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^*

^*Corresponding author for this work

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

16 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 language	English
Pages (from-to)	599-627
Number of pages	29
Journal	International Journal for Numerical Methods in Fluids
Volume	53
Issue number	4
Early online date	20 Sept 2006
DOIs	https://doi.org/10.1002/fld.1298
Publication status	Published - 10 Feb 2007

Keywords

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

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10.1002/fld.1298

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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.",

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AU - Tomé, M. F.

AU - Doricio, J. L.

AU - Castelo, A.

AU - Cuminato, J. A.

AU - McKee, S.

PY - 2007/2/10

Y1 - 2007/2/10

N2 - 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.

AB - 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.

KW - finite difference

KW - free surface flow

KW - marker-and-cell

KW - second-order fluid

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JF - International Journal for Numerical Methods in Fluids

IS - 4

ER -

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

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Keywords

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