# A cell-centred finite volume method for modelling viscoelastic flow

Edussuriya, S.S., Williams, A.J. and Bailey, C.
(2004)
*A cell-centred finite volume method for modelling viscoelastic flow.*
Journal of Non-Newtonian Fluid Mechanics, 117 (1).
pp. 47-61.
ISSN 0377-0257
(doi:10.1016/j.jnnfm.2003.12.001)

## Abstract

An unstructured cell-centred finite volume method for modelling viscoelastic flow is presented. The method is applied to the flow through a planar channel and the 4:1 planar contraction for creeping flow of an Oldroyd-B fluid. The results are presented for a range of Weissenberg numbers. In the case of the planar channel results are compared with analytical solutions. For the 4:1 planar contraction benchmark problem the convection terms in the constitutive equations are approximated using both first and second order differencing schemes to compare the techniques and the effect of mesh refinement on the solution is investigated. This is the first time that a fully unstructured, cell-centredfinitevolume technique has been used to model the Oldroyd-B fluid for the test cases presented in this paper.

Item Type: | Article |
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Uncontrolled Keywords: | Oldroyd-B, unstructured, cell-centred, viscoelastic |

Subjects: | Q Science > QA Mathematics |

Pre-2014 Departments: | School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Mechanics & Reliability Group School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group School of Computing & Mathematical Sciences > Department of Computer Systems Technology School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

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Last Modified: | 14 Oct 2016 09:01 |

URI: | http://gala.gre.ac.uk/id/eprint/726 |

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