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Stationary Oldroyd model with diffusive stress: mathematical analysis of the model and vanishing diffusion process

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Academic year: 2021

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Figure 1: Solution of the stationary Oldroyd model near the cylinder, with Re = 0.67, r = 0.6, a = 0, We = 1.0, D = 0.0
Figure 2: Flow past a cylinder in a plane channel in 2D: influence of the diffusive term on the error on the velocity (l.) and the elastic constraint (r.).
Figure 3: Solution of the stationary Oldroyd model for the driven cavity problem with Re = 10.0, r = 0.5, a = 0, We = 1.0, D = 0.0: (t.) Norm of the velocity field, (b.) pressure field.
Figure 4: Solution of the stationary Oldroyd model for the driven cavity problem with Re = 10.0, We = 1.0, r = 0.5, a = 0
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