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Title: Finite element modelling of some incompressible fluid flow problems (English)
Author: Burda, Pavel
Author: Novotný, Jaroslav
Author: Šístek, Jakub
Author: Damašek, Alexandr
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 1-6, 2008
Issue: 2008
Pages: 37-52
Category: math
Summary: We deal with modelling of flows in channels or tubes with abrupt changes of the diameter. The goal of this work is to construct the FEM solution in the vicinity of these corners as precise as desired. We present two ways. The first approach makes use of a posteriori error estimates and the adaptive strategy. The second approach is based on the asymptotic behaviour of the exact solution in the vicinity of the corner and on the a priori error estimate of the FEM solution. Then we obtain the solution with desired precision also in the vicinity of the corner, though there is a singularity. Numerical results are demostrated on a 2D example. ()
MSC: 76-xx
idZBL: Zbl 05802240
Date available: 2015-09-08T11:32:47Z
Last updated: 2015-12-04
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