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Article

Burda, Pavel ; Novotný, Jaroslav ; Šístek, Jakub
Analytical solution of rotationally symmetric Stokes flow near corners. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 13-20
MSC: 76D05, 76D07, 76M10, 76M45 | MR 3204426 | Zbl 1340.76025
Keywords:
Stokes flow; Navier-Stokes equations; asymptotic behaviour; singularity; boundary corner; finite element method; flow in a channel; lid driven cavity
Summary:
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.
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