Finite element approximation of flow of fluids with shear-rate- and pressure-dependent viscosity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10103664" target="_blank" >RIV/00216208:11320/12:10103664 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/12:00371221 RIV/67985807:_____/12:00371221
Result on the web
<a href="http://imajna.oxfordjournals.org/content/32/4/1604.full.pdf+html" target="_blank" >http://imajna.oxfordjournals.org/content/32/4/1604.full.pdf+html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imanum/drr033" target="_blank" >10.1093/imanum/drr033</a>

Result language
angličtina
Original language name
Finite element approximation of flow of fluids with shear-rate- and pressure-dependent viscosity
Original language description
In this paper we consider a class of incompressible viscous fluids whose viscosity depends on the shear rate and pressure. We deal with isothermal steady flow and analyse the Galerkin discretization of the corresponding equations. We discuss the existence and uniqueness of discrete solutions and their convergence to the solution of the original problem. In particular, we derive a priori error estimates, which provide optimal rates of convergence with respect to the expected regularity of the solution. Finally, we demonstrate the achieved results by numerical experiments. To our knowledge, this is the first analysis of the finite element method for fluids with pressure-dependent viscosity. The derived estimates coincide with the optimal error estimatesestablished recently for Carreau-type models, which are covered as a special case.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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