Numerical simulation of lid-driven cavity flow by isogeometric analysis

In this paper, we present numerical results obtained by an in-house incompressible fluidflow solver based on isogeometric analysis (IgA) for the standard benchmark problem for incompressiblefluid flow simulation – lid-driven cavity flow. The steady Navier-Stokes equations are solved in theirvelocity-pressure formulation and we consider only inf-sup stable pairs of B-spline discretization spaces.The main aim of the paper is to compare the results from our IgA-based flow solver with the resultsobtained by a standard package based on finite element method with respect to degrees of freedomand stability of the solution. Further, the effectiveness of the recently introduced rIgA method for thesteady Navier-Stokes equations is studied