Finite volume method for simulation of viscoelastic flow through a expansion channel

A finite volume method for the numerical solution of viscoelastic flows is given. The flow of a differential Upper-Convected Maxwell (UCM) fluid through an abrupt expansion has been chosen as a prototype example. The conservation and constitutive equations are solved using the Finite Volume Method (...

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Bibliographic Details
Published in:Journal of hydrodynamics. Series B 2009-06, Vol.21 (3), p.360-365
Main Authors: FU, Chun-quan, JIANG, Hai-mei, YIN, Hong-jun, SU, Yu-chi, ZENG, Ye-ming
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Constitutive relationships
Engineering
Engineering Fluid Dynamics
Finite volume method
Fluid flow
Hydrology/Water Resources
Mathematical analysis
Mathematical models
Numerical and Computational Physics
Simulation
sweep efficiency
Upper-Convected Maxwell (UCM) model
Viscoelasticity
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Summary:A finite volume method for the numerical solution of viscoelastic flows is given. The flow of a differential Upper-Convected Maxwell (UCM) fluid through an abrupt expansion has been chosen as a prototype example. The conservation and constitutive equations are solved using the Finite Volume Method (FVM) in a staggered grid with an upwind scheme for the viscoelastic stresses and a hybrid scheme for the velocities. An enhanced-in-speed pressure-correction algorithm is used and a method for handling the source term in the momentum equations is employed. Improved accuracy is achieved by a special discretization of the boundary conditions. Stable solutions are obtained for higher Weissenberg number ( We), further extending the range of simulations with the FVM. Numerical results show the viscoelasticity of polymer solutions is the main factor influencing the sweep efficiency.
ISSN:1001-6058
1878-0342
DOI:10.1016/S1001-6058(08)60157-2