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

Jeremy Bleyer (1)

1 navier umr 8205 - Laboratoire Navier

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.

Keywords: viscoplasticity; yield stress fluids; Bingham model; interior point method; conic programming

Domains: Materials and structures in mechanics [physics.class-ph]

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⟩