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F. Dupret, J. Marchal, M. Crochet (1985)
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Non‐Newtonian flow has a nonlinear constitutive relationship with an advective nature. It was found that in highly advective (convective) problems, the Galerkin formulation “under‐diffused,” resulting in divergence at low elastic numbers. The use of the Streamline‐Upwinding (SU) method improved the solution, especially when used with the Phan‐Thien‐Tanner (PTT) model. At the boundary discontinuity, however, the stress gradient did not necessarily flow along the streamline direction, and oscillations still remained at the corner. The Discontinuity‐Capturing (DC) method resolved this problem by applying control in the direction of the stress gradient rather than the stream line direction, and a smoother solution at the corner region was achieved.
Polymer Engineering & Science – Wiley
Published: Feb 1, 1996
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