Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions

We study equations to describe incompressible generalized Newtonian fluids, where the extra stress tensor satisfies a nonstandard anisotropic asymptotic growth condition. An implicit finite element discretization, and a simple, fully practical fixed-point scheme with proper thresholding criterion are proposed, and convergence towards weak solutions of the limiting problem is shown. Computational experiments are included, which motivate nontrivial fluid flow behavior.

• Type: Journal
• Year: 2010
• Where: SIAMNUM
• Authors: Erich Carelli, Jonas Haehnle, Andreas Prohl
• Keywords: Anisotropic Asymptotic Growth, Finite Element Discretization, Proper Thresholding Criterion, SIAMNUM 2010