Abstract
A numerical formulation for incompressible flows with stable stratification is developed using the framework of variational multiscale methods. In the proposed formulation, both density and temperature stratification are handled in a unified manner. The formulation is augmented with weakly-enforced essential boundary conditions and is suitable for applications involving moving domains, such as fluid-structure interaction. The methodology is tested using three numerical examples ranging from flow-physics benchmarks to a simulation of a full-scale offshore wind-turbine rotor spinning inside an atmospheric boundary layer. Good agreement is achieved with experimental and computational results reported by other researchers. The wind-turbine rotor simulation shows that flow stratification has a strong influence on the dynamic rotor thrust and torque loads.
Original language | English (US) |
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Pages (from-to) | 2349-2375 |
Number of pages | 27 |
Journal | Mathematical Models and Methods in Applied Sciences |
Volume | 25 |
Issue number | 12 |
DOIs | |
State | Published - Nov 26 2015 |
Externally published | Yes |
Keywords
- ALE-VMS
- atmospheric boundary layer
- internal gravity waves
- self-propelled wake
- stratified flow
- turbulence
- wind turbine
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics