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Viscoelastic flow through a planar contraction using a semi-Lagrangian finite volume method. (English) Zbl 0945.76052

Summary: We present a semi-Lagrangian finite volume scheme for solving viscoelastic flow problems. 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 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. In particular, we analyze the development of vortices with increasing values of the Weisenberg number.

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76A10 Viscoelastic fluids
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