期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
卷 65, 期 11-12, 页码 1407-1422出版社
WILEY
DOI: 10.1002/fld.2337
关键词
IsoGeometric Analysis; NURBS; stability; incompressibility; Stokes flow
In this paper, we discuss the application of IsoGeometric Analysis to incompressible viscous flow problems. We consider, as a prototype problem, the Stokes system and we propose various choices of compatible spline spaces for the approximations to the velocity and the pressure fields. The proposed choices can be viewed as extensions of the Taylor-Hood, Nedelec and Raviart-Thomas pairs of finite element spaces, respectively. We study the stability and convergence properties of each method and discuss the conservation properties of the discrete velocity field in each case. Copyright (C) 2010 John Wiley & Sons, Ltd.
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