Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision

0379798 - MÚ 2013 RIV CZ eng C - Conference Paper (international conference)
Burda, P. - Novotný, Jaroslav - Šístek, Jakub
Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision.
Applications of Mathematics 2012. Praha: Matematický ústav AV ČR, v.v.i, 2012 - (Brandts, J.; Chleboun, J.; Korotov, S.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 43-54. ISBN 978-80-85823-60-8.
[Applications of Mathematics 2012. Prague (CZ), 02.05.2012-05.05.2012]
R&D Projects: GA ČR GA106/08/0403
Institutional support: RVO:67985840 ; RVO:61388998
Keywords : Stokes flow * singularities * corners * asymptotic solution
Subject RIV: BA - General Mathematics
http://www.math.cas.cz/~am2012/proceedings/contributions/burda.pdf

We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.
Permanent Link: http://hdl.handle.net/11104/0210673