IgA-Based Solver for turbulence modelling on multipatch geometries

Numerical Simulation of Lid-Driven Cavity Flow by Isogeometric Analysis

“…Because of many advantages of the IgA, the method has been successfully applied in various practical problems, like linear elasticity, structural vibrations, phase transition phenomena, fluid flow simulation, plate and shell analysis, heat transfer analysis, shape optimization, etc., see e.g. [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”

“…The main goal of this paper is to extend the study done in [33] for the lid-driven cavity problem to higher Reynolds number, but in a slightly different manner. We want to compare the solutions obtained by our inhouse fluid flow solver based on isogeometric analysis (see [30,31]) for different B-spline discretization spaces with solutions obtained by finite element method with respect to degrees of freedom and stability of the solution. Further, we want to study the potential "stabilization effect" of high continuity B-spline discretization spaces (see [41]), i.e., if high continuity B-spline discretization spaces provide solutions with less oscillations than standard finite element spaces and B-spline discretization spaces of low continuity (FEM-like) for the similar number of degrees of freedom.…”