Name
Title | ||
|---|---|---|
Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions |
Abstract | ||
|---|---|---|
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 toward weak solutions of the limiting problem is shown. Computational experiments are included, which motivate nontrivial fluid flow behavior. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1137/080718978 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
extra stress tensor,convergence analysis,incompressible generalized newtonian fluid,nonstandard anisotropic asymptotic growth,proper thresholding criterion,implicit finite element discretization,nontrivial fluid flow behavior,computational experiment,nonstandard anisotropic growth conditions,weak solution,practical fixed-point scheme,fluid flow | Compressibility,Discretization,Generalized Newtonian fluid,Mathematical optimization,Mathematical analysis,Finite element method,Fluid dynamics,Newtonian fluid,Cauchy stress tensor,Mathematics,Herschel–Bulkley fluid | Journal |
Volume | Issue | ISSN |
48 | 1 | 0036-1429 |
Citations | PageRank | References |
1 | 0.42 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Erich Carelli | 1 | 9 | 2.13 |
| Jonas Haehnle | 2 | 2 | 1.11 |
| Andreas Prohl | 3 | 302 | 67.29 |