Finite element approximation of Stokes-like systems with implicit constitutive relation. (English) Zbl 1278.76062
Handlovičová, Angela (ed.) et al., Algoritmy 2012. 19th conference on scientific computing, Vysoké Tatry, Podbanské, Slovakia, September 9–14, 2012. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3742-5/pbk). 291-300 (2012).
Summary: The paper deals with the numerical simulations of steady flows if incompressible fluids whose stress-strain relation is given through an implicit function. In particular, the stress-power law is studied and compared to the classical power law. We propose several formulations of the problem, their stable approximations and particular examples of finite element spaces. The method is demonstrated by numerical results.
For the entire collection see [Zbl 1260.00028].
For the entire collection see [Zbl 1260.00028].
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 35Q30 | Navier-Stokes equations |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 76D07 | Stokes and related (Oseen, etc.) flows |
| 76A05 | Non-Newtonian fluids |
| 76S05 | Flows in porous media; filtration; seepage |
