Analytical solution of rotationally symmetric Stokes flow near corners

Burda, Pavel, Novotný, Jaroslav, and Šístek, Jakub. "Analytical solution of rotationally symmetric Stokes flow near corners." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 13-20. <http://eudml.org/doc/287828>.

@inProceedings{Burda2013,
abstract = {We present analytical solution of the Stokes problem in rotationally symmetric domains. This is then used to find the asymptotic behaviour of the solution in the vicinity of corners, also for Navier-Stokes equations. We apply this to construct very precise numerical finite element solution.},
author = {Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub},
booktitle = {Applications of Mathematics 2013},
keywords = {Stokes flow; Navier-Stokes equations; asymptotic behaviour; singularity; boundary corner; finite element method; flow in a channel; lid driven cavity},
location = {Prague},
pages = {13-20},
publisher = {Institute of Mathematics AS CR},
title = {Analytical solution of rotationally symmetric Stokes flow near corners},
url = {http://eudml.org/doc/287828},
year = {2013},
}

TY - CLSWK
AU - Burda, Pavel
AU - Novotný, Jaroslav
AU - Šístek, Jakub
TI - Analytical solution of rotationally symmetric Stokes flow near corners
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 13
EP - 20
AB - We present analytical solution of the Stokes problem in rotationally symmetric domains. This is then used to find the asymptotic behaviour of the solution in the vicinity of corners, also for Navier-Stokes equations. We apply this to construct very precise numerical finite element solution.
KW - Stokes flow; Navier-Stokes equations; asymptotic behaviour; singularity; boundary corner; finite element method; flow in a channel; lid driven cavity
UR - http://eudml.org/doc/287828
ER -