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

Keywords