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 - Konferenční příspěvek (zahraniční konf.)
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]
Grant CEP: GA ČR GA106/08/0403
Institucionální podpora: RVO:67985840 ; RVO:61388998
Klíčová slova: Stokes flow * singularities * corners * asymptotic solution
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0210673