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transient viscoelastic flluid flow obeying the Oldroyd-B differential constitutive model (with a Newtonian viscosity). The numerical scheme uses an Eu ...展开
ler implicit method in time and fem in space,which maintains a coupling between the velocity u and the viscoelastic part of the stress σ at each time step. Approximate stress, velocity and stress are, respectively, P_1-continuous,P_2-continuous,and P_1-continuous. Upwinding needed for convection of a is made by a SUPG (streamline Upwinding Petrov-Galerkin method, see[15,16]). Suppose that the continuous problem admits a suffiently smooth and sufficiently small solution, it is shown that the approximation problem has a solution and an optimal error bound is given. 收起
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