BEM-RBF Approach For Viscoelastic Flow Analysis
Author(s)
T. Tran-Cong, N. Mai-Duy and N. Phan-Thien
Abstract
BEM-RBF approach for viscoelastic flow
analysis
T. Iran-Cong*, N. Mai-Duy> and N. Phan-Thieir
i Faculty of Engineering and Surveying,
University of Southern Queensland, Toowoomba,
QLD 4350, Australia
^Department of Mechanical Engineering,
The University of Sydney,
2006,
Abstract
A new BE-only method is achieved for the numerical solution of viscoelastic
flows. A decoupled algorithm is chosen where the fluid is considered as
being composed of an artificial Newtonian component and the remaining
component is accordingly defined from the original constitutive equation. As
a result the problem is viewed as that of solving for the flow of a Newtonian
liquid with the non-linear viscoelastic effects acting as a pseudo body force.
Thus the general solution is obtained by adding a particular solution to the
homogeneous one. The former is obtained by a BEM for the base Newtonian
fluid and the latter is obtained analytically by approximating the pseudo
body force in terms of suitable radial
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