Journal title
SIAM Journal on Scientific Computing
DOI
10.1137/20M1336618
Issue
6
Volume
42
Last updated
2024-04-03T19:36:39.19+01:00
Page
B1329-B1349
Abstract
We propose an augmented Lagrangian preconditioner for a three-field stress-velocity-pressure discretization of stationary non-Newtonian incompressible flow with an implicit constitutive relation of power-law type. The discretization employed makes use of the divergence-free Scott--Vogelius pair for the velocity and pressure. The preconditioner builds on the work [P. E. Farrell, L. Mitchell, and F. Wechsung, SIAM J. Sci. Comput., 41 (2019), pp. A3073--A3096], where a Reynolds-robust preconditioner for the three-dimensional Newtonian system was introduced. The preconditioner employs a specialized multigrid method for the stress-velocity block that involves a divergence-capturing space decomposition and a custom prolongation operator. The solver exhibits excellent robustness with respect to the parameters arising in the constitutive relation, allowing for the simulation of a wide range of materials.
Symplectic ID
1124805
Submitted to ORA
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Publication type
Journal Article
Publication date
03 Nov 2020