Abstract
A new residual-based variational multiscale (RBVMS) formulation for incompressible turbulent flows is proposed that is suitable for discretization using divergence-conforming B-splines. The proposed methodology results in a pointwise satisfaction of the zero-divergence constraint on the discrete velocity field. The velocity fine scales are residual-driven and constructed in a manner that is consistent with the divergence-free constraint on the discrete velocity solution. The resulting formulation is tested on laminar- and turbulent-flow benchmark problems showing excellent stability and accuracy characteristics in both regimes.
Original language | English (US) |
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Pages (from-to) | 859-879 |
Number of pages | 21 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 316 |
DOIs | |
State | Published - Apr 1 2017 |
Externally published | Yes |
Keywords
- Divergence-conforming B-splines
- IGA
- Incompressible flows
- Turbulent flows
- VMS
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications