A numerical study of Isogeometric Analysis for cavity flow and flow around a cylindrical obstacle
نویسندگان
چکیده
This paper presents our numerical results for the application of the Isogeometric Analysis (IGA) to the velocity-pressure formulation of the steady state as well as the unsteady incompressible Navier-Stokes equations. For the approximation of the velocity and pressure fields, LBB compatible spline spaces are used which can be regarded as generalizations of Taylor-Hood pairs of finite element spaces. The single-step θ-scheme is used for the discretization in time. The lid-driven cavity flow in addition to its regularized version and flow around cylinder are considered in two dimensions as model problems in order to investigate the numerical properties of the scheme with respect to accuracy.
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