Finite element approximations for the stationary large eddy simulation model

Andrzej Warzyński

Applicationes Mathematicae (2010)

  • Volume: 37, Issue: 2, page 171-183
  • ISSN: 1233-7234

Abstract

top
Some approximation procedures are presented for the system of equations arising from the large eddy simulation of turbulent flows. Existence of solutions to the approximate problems is proved. Discrete solutions generate a strongly convergent subsequence whose limit is a weak solution of the original problem. To prove the convergence theorem we use Young measures and related tools. We do not limit ourselves to divergence-free functions and our results are in particular valid for finite element approximations where one usually does not use functions with divergence equal to zero.

How to cite

top

Andrzej Warzyński. "Finite element approximations for the stationary large eddy simulation model." Applicationes Mathematicae 37.2 (2010): 171-183. <http://eudml.org/doc/279983>.

@article{AndrzejWarzyński2010,
abstract = {Some approximation procedures are presented for the system of equations arising from the large eddy simulation of turbulent flows. Existence of solutions to the approximate problems is proved. Discrete solutions generate a strongly convergent subsequence whose limit is a weak solution of the original problem. To prove the convergence theorem we use Young measures and related tools. We do not limit ourselves to divergence-free functions and our results are in particular valid for finite element approximations where one usually does not use functions with divergence equal to zero.},
author = {Andrzej Warzyński},
journal = {Applicationes Mathematicae},
keywords = {large eddy simulation of turbulent flows; finite element approximations},
language = {eng},
number = {2},
pages = {171-183},
title = {Finite element approximations for the stationary large eddy simulation model},
url = {http://eudml.org/doc/279983},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Andrzej Warzyński
TI - Finite element approximations for the stationary large eddy simulation model
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 2
SP - 171
EP - 183
AB - Some approximation procedures are presented for the system of equations arising from the large eddy simulation of turbulent flows. Existence of solutions to the approximate problems is proved. Discrete solutions generate a strongly convergent subsequence whose limit is a weak solution of the original problem. To prove the convergence theorem we use Young measures and related tools. We do not limit ourselves to divergence-free functions and our results are in particular valid for finite element approximations where one usually does not use functions with divergence equal to zero.
LA - eng
KW - large eddy simulation of turbulent flows; finite element approximations
UR - http://eudml.org/doc/279983
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.