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2010

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

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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.
Erich Carelli, Jonas Haehnle, Andreas Prohl
Added 21 May 2011
Updated 21 May 2011
Type Journal
Year 2010
Where SIAMNUM
Authors Erich Carelli, Jonas Haehnle, Andreas Prohl
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