Skeleton-stabilized IsoGeometric Analysis: high-regularity interior-penalty methods for incompressible viscous flow problems
- Hoang, T.
- Verhoosel, C.V.
- Auricchio, F.
- van Brummelen, E.H.
- Reali, A.
DOIAbstract
A Skeleton-stabilized IsoGeometric Analysis (SIGA) technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed method allows utilizing identical finite dimensional spaces (with arbitrary B-splines/NURBS order and regularity) for the approximation of the pressure and velocity components. The key idea is to stabilize the jumps of high-order derivatives of variables over the skeleton of the mesh. For B-splines/NURBS basis functions of degree k with Cα-regularity (0≤α<k), only the derivative of order α+1 has to be controlled. This stabilization technique thus can be viewed as a high-regularity generalization of the (Continuous) Interior-Penalty Finite Element Method. Numerical experiments are perfo...
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