Abstract
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. © 2011 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Burda, P., Novotný, J., & Šístek, J. (2011). Singularities in lid driven cavity solved by adjusted finite element method. In Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010 (pp. 799–805). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-17884-9_101
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