Finite element approximation of Stokes-like systems with implicit constitutive relation

0385819 - MÚ 2013 RIV SK eng C - Conference Paper (international conference)
Stebel, Jan
Finite element approximation of Stokes-like systems with implicit constitutive relation.
Proceedings of Algoritmy 2012 - 19th Conference of Scientific Computing. Bratislava, Slovakia: Slovak University of Technology and Comenius University Bratislava, 2012 - (Handlovičová, A. a kol.), s. 291-300. ISBN 978-80-227-3742-5.
[ALGORITMY 2012 - Conference on Scientific Computing /19./. Vysoké Tatry - Podbánské (SK), 09.09.2012-14.09.2012]
R&D Projects: GA ČR GA201/09/0917
Institutional support: RVO:67985840
Keywords : incompressible fluid * non-Newtonian fluid * implicit constitutive relation
Subject RIV: BA - General Mathematics
http://www.iam.fmph.uniba.sk/algoritmy2012/zbornik/30Stebel.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0007469