Numerical Analysis Of Linear Viscoelastic Flow
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Two dimensional simulation of the flow of the linear and quasi linear upper-convected Maxwell fluid is performed using the Boundary element method (BEM). In particular, a singular boundary integral approach, which has been established for the viscous incompressible flow problem [l], is modified and extended to capture viscoelastic fluid state. A special attention is given to a proper integration of the conservation and constitutive equations. A velocity – vorticity formulation of the dynamical set of equations is adopted. The flow in a driven cavity and the flow through an abrupt planar contraction with a re-entrant corner is studied .