Stabilized space-time computation of wind-turbine rotor aerodynamics

Kenji Takizawa, Bradley Henicke, Tayfun E. Tezduyar*, Ming Chen Hsu, Yuri Bazilevs

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

117 Citations (Scopus)


We show how we use the Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation for accurate 3D computation of the aerodynamics of a wind-turbine rotor. As the test case, we use the NREL 5MW offshore baseline wind-turbine rotor. This class of computational problems are rather challenging, because they involve large Reynolds numbers and rotating turbulent flows, and computing the correct torque requires an accurate and meticulous numerical approach. We compute the problem with both the original version of the DSD/SST formulation and a recently introduced version with an advanced turbulence model. The DSD/SST formulation with the advanced turbulence model is a space-time version of the residual-based variational multiscale method. We compare our results to those reported recently, which were obtained with the residual-based variational multiscale Arbitrary Lagrangian-Eulerian method using NURBS for spatial discretization and which we take as the reference solution. While the original DSD/SST formulation yields torque values not far from the reference solution, the DSD/SST formulation with the variational multiscale turbulence model yields torque values very close to the reference solution.

Original languageEnglish
Pages (from-to)333-344
Number of pages12
JournalComputational Mechanics
Issue number3
Publication statusPublished - 2011 Sept


  • DSD/SST formulation
  • Rotating turbulent flow
  • Space-time variational multiscale method
  • Torque values
  • Wind-turbine aerodynamics

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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