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Article

Bastl, Bohumír ; Brandner, Marek ; Egermaier, Jiří ; Michálková, Kristýna ; Turnerová, Eva
Isogeometric analysis for fluid flow problems. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 23-31
MSC: 65D17, 65N30, 76D05
Keywords:
isogeometric analysis; Navier-Stokes equations; lid driven cavity
Summary:
The article is devoted to the simulation of viscous incompressible fluid flow based on solving the Navier-Stokes equations. As a numerical model we chose isogeometrical approach. Primary goal of using isogemetric analysis is to be always geometrically exact, independently of the discretization, and to avoid a time-consuming generation of meshes of computational domains. For higher Reynolds numbers, we use stabilization techniques SUPG and PSPG. All methods mentioned in the paper are demonstrated on a standard test example -- flow in a lid-driven cavity.
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