Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method

0362928 - MÚ 2012 RIV DE eng C - Konferenční příspěvek (zahraniční konf.)
Burda, P. - Novotný, Jaroslav - Šístek, Jakub
Singularities in Lid Driven Cavity Solved by Adjusted Finite Element Method.
Computational Fluid Dynamics 2010. Berlin: Springer, 2011 - (Kuzmin, A.), s. 799-805. ISBN 978-3-642-17883-2.
[International Conference on Computational Fluid Dynamics /6./. St Petersburg (RU), 12.07.2010-16.07.2010]
Grant CEP: GA ČR GA106/08/0403
Výzkumný záměr: CEZ:AV0Z10190503; CEZ:AV0Z20760514
Klíčová slova: Navier-Stokes flow * singularity * lid driven cavity * adjusted mesh
Kód oboru RIV: BA - Obecná matematika
http://link.springer.com/chapter/10.1007%2F978-3-642-17884-9_101

The problem of singularities caused by boundary conditions is studied on the flow in lid driven cavity. The asymptotic behaviour of pressure near the singularity locations is used together with the a priori error estimates of the finite element solution, in order to design the finite element mesh adjusted to singularity. In this way a very precise solution in the vicinity of the singularity is obtained. A posteriori error estimates are used as the principal tool for error analysis. Numerical results showing the dramatic improvement in pressure calculation are presented.
Trvalý link: http://hdl.handle.net/11104/0199095