Home > Conference materials > Papers > Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision
Original title:
Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision
Authors:
Burda, P. ; Novotný, Jaroslav ; Šístek, Jakub Document type: Papers Conference/Event: Applications of Mathematics 2012, Prague (CZ), 2012-05-02 / 2012-05-05
Year:
2012
Language:
eng Abstract:
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.
Keywords:
asymptotic solution; corners; singularities; Stokes flow Project no.: GA106/08/0403 (CEP) Funding provider: GA ČR Host item entry: Applications of Mathematics 2012, ISBN 978-80-85823-60-8