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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2018

Advances in the simulation of viscoplastic fluid flows using interior-point methods

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Jeremy Bleyer

Résumé

We present a primal-dual interior point algorithm for the resolution of steady-state viscoplas-tic fluid flows formulated as a conic optimization problem. We give a complete description of the algorithm including some advanced aspects such as a predictor-corrector and scaling scheme to improve its efficiency. Our interior-point approach is shown to be largely more efficient than Augmented Lagrangian (AL) approaches which are traditionally used to solve such problems. In particular, the interior-point approach is roughly 5 times faster than the modern accelerated version of AL algorithms. The yield surfaces are shown to be accurately predicted and various examples ranging from channel flows to three-dimensional flows through a porous medium demonstrate its efficiency.
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Dates et versions

hal-01672045 , version 1 (22-12-2017)

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Jeremy Bleyer. Advances in the simulation of viscoplastic fluid flows using interior-point methods. Computer Methods in Applied Mechanics and Engineering, 2018, 330, pp.368-394. ⟨10.1016/j.cma.2017.11.006⟩. ⟨hal-01672045⟩
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