# Viscoelastic flow through a planar contraction using a semi-Lagrangian finite volume method

Phillips, T.N. and Williams, A.J.
(1999)
*Viscoelastic flow through a planar contraction using a semi-Lagrangian finite volume method.*
Journal of Non-Newtonian Fluid Mechanics, 87 (2-3).
pp. 215-246.
ISSN 0377-0257
(doi:10.1016/S0377-0257(99)00065-8)

## Abstract

A semi-Lagrangian finite volume scheme for solving viscoelastic flow problems is presented. A staggered grid arrangement is used in which the dependent variables are located at different mesh points in the computational domain. The convection terms in the momentum and constitutive equations are treated using a semi-Lagrangian approach in which particles on a regular grid are traced backwards over a single time-step. The method is applied to the 4 : 1 planar contraction problem for an Oldroyd B fluid for both creeping and inertial flow conditions. The development of vortex behaviour with increasing values of We is analyzed.

Item Type: | Article |
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Uncontrolled Keywords: | semi-Lagrangian, viscoelastic, Oldroyd B, flow |

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 Science & Engineering Group |

Related URLs: | |

Last Modified: | 14 Oct 2016 09:00 |

URI: | http://gala.gre.ac.uk/id/eprint/330 |

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