Fluid flow in cavity solved by finite element method

0352461 - MÚ 2011 RIV CZ eng C - Conference Paper (international conference)
Burda, P. - Novotný, J. - Šístek, Jakub
Fluid flow in cavity solved by finite element method.
Proceedings of International Conference Presentation of Mathematics '09. Liberec: Technická univerzita v Liberci, 2010 - (Feuerstein, E.; Segeth, K.; Andrejsová, D.), s. 15-23. ISBN 978-80-7372-578-5.
[International conference Presentation of mathematics '09. Liberec (CZ), 14.09.2009-16.09.2009]
Institutional research plan: CEZ:AV0Z10190503
Keywords : FEM * incompressible flow * cavity * singularities
Subject RIV: BA - General Mathematics

The problem of singularities caused by boundary conditions is studied in the flow of lid driven cavity. The asymptotic behaviour near the singularity points is used together with the apriori error estimates of the finite element solution, in order to design the finite element mesh adjusted to singularity. A posteriori error estimates are used as the principal tool for error analysis. Thus we obtain very precise solution in the vicinity of the singularity. Numerical results are presented.
Permanent Link: http://hdl.handle.net/11104/0191964