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.
@article{702659,
title = {Isogeometric analysis for fluid flow problems},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2015},
pages = {23-31},
url = {http://dml.mathdoc.fr/item/702659}
}
Bastl, Bohumír; Brandner, Marek; Egermaier, Jiří; Michálková, Kristýna; Turnerová, Eva. Isogeometric analysis for fluid flow problems, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2015), pp. 23-31. http://gdmltest.u-ga.fr/item/702659/