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MSC: 65D17, 65N30, 76D05
isogeometric analysis; Navier-Stokes equations; lid driven cavity
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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