Finite element modelling of some incompressible fluid flow problems

Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub; Damašek, Alexandr

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 37-52

Abstract

top
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.

How to cite

top

Burda, Pavel, et al. "Finite element modelling of some incompressible fluid flow problems." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2008. 37-52. <http://eudml.org/doc/271422>.

@inProceedings{Burda2008,
abstract = {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.},
author = {Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub, Damašek, Alexandr},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {37-52},
publisher = {Institute of Mathematics AS CR},
title = {Finite element modelling of some incompressible fluid flow problems},
url = {http://eudml.org/doc/271422},
year = {2008},
}

TY - CLSWK
AU - Burda, Pavel
AU - Novotný, Jaroslav
AU - Šístek, Jakub
AU - Damašek, Alexandr
TI - Finite element modelling of some incompressible fluid flow problems
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2008
CY - Prague
PB - Institute of Mathematics AS CR
SP - 37
EP - 52
AB - 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.
UR - http://eudml.org/doc/271422
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.