Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420269 | Applied Mathematics and Computation | 2015 | 18 Pages |
Abstract
This paper presents our numerical results of the application of Isogeometric Analysis (IGA) to the velocity-pressure formulation of the steady state as well as to the unsteady incompressible Navier-Stokes equations. For the approximation of the velocity and pressure fields, LBB compatible B-spline spaces are used which can be regarded as smooth 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Babak S. Hosseini, Matthias Möller, Stefan Turek,