21st AIAA Computational Fluid Dynamics Conference 2013
DOI: 10.2514/6.2013-2951
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Wind Turbine Dynamic Stall Analysis Using Harmonic Balance and Correlation-based Transition Models

Abstract: In this paper, we use the harmonic balance method to study an oscillating S809 airfoil in dynamic stall. The periodic behavior of this problem makes it well suited for the harmonic balance method, which is able to model unsteady aerodynamics at greatly reduced computational costs when compared with time-accurate unsteady-flow solvers. A finite-volume technique based on the lower-upper symmetric Gauss-Seidel scheme with Roe fluxes is used to solve the Reynolds-averaged Navier-Stokes equations. The turbulent vis… Show more

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Cited by 6 publications
(8 citation statements)
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References 26 publications
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“…The study used the 2‐dimensional (2D) compressible laminar NS equations with low‐speed preconditioning and reported a tenfold speedup of the periodic flow calculation achieved by using the H B rather than the T D method. Howison and Ekici used the Spalart‐Allmaras turbulence model and low‐speed preconditioning and, later, the Spalart‐Allmaras model and a zonal transition model to successfully analyze the 2D periodic flow past a pitching S809 airfoil with the H B approach, whereas Menter's shear stress transport (SST) turbulence model was used in Campobasso et al for the 2D H B NS analyses of an inboard section of a utility‐scale HAWT blade in yawed wind. A 3D H B NS approach was used in Howison to assess the flutter characteristics of the 1.5‐MW WindPACT rotor blade.…”
Section: Introductionmentioning
confidence: 99%
“…The study used the 2‐dimensional (2D) compressible laminar NS equations with low‐speed preconditioning and reported a tenfold speedup of the periodic flow calculation achieved by using the H B rather than the T D method. Howison and Ekici used the Spalart‐Allmaras turbulence model and low‐speed preconditioning and, later, the Spalart‐Allmaras model and a zonal transition model to successfully analyze the 2D periodic flow past a pitching S809 airfoil with the H B approach, whereas Menter's shear stress transport (SST) turbulence model was used in Campobasso et al for the 2D H B NS analyses of an inboard section of a utility‐scale HAWT blade in yawed wind. A 3D H B NS approach was used in Howison to assess the flutter characteristics of the 1.5‐MW WindPACT rotor blade.…”
Section: Introductionmentioning
confidence: 99%
“…and λ is taken to be the maximum of the spectral radii of the flux Jacobian matrices in all directions. The implementation of the present harmonic balance solver in wind turbine applications was presented by Howison and Ekici [12,28,16].…”
Section: Harmonic Balance Rans Solvermentioning
confidence: 99%
“…Due to the fact that most of the fundamental wind turbine unsteady problems are periodic in time, frequency-domain techniques can be utilized to avoid prohibitively costly computational effort of time-domain RANS solvers. The application of a harmonic balance (HB) method [13,14] to Navier-Stokes (NS) solvers has proven to be a promising tool for turbomachinery and wind turbine flow problems [15,11,12,16,17]. It is worth mentioning that higher harmonics can be introduced in the flow field due to the wind turbine tower shadow which necessitates the use of large number of sub-time levels in the harmonic balance solver.…”
Section: Introductionmentioning
confidence: 99%
“…This paper presents the framework to develop an aeroelastic model of a wind turbine blade that couples an unsteady, harmonic balance Navier‐Stokes solver to a mode shape–based structural dynamics model. The 2D version of the Navier‐Stokes solver, augmented by the Spalart‐Allmaras turbulence model and the γ – trueReθt transition model, has been presented previously . The importance of transition modeling in predicting dynamic stall was shown there, but transition modeling is not included in the current work since the goal now is to establish a baseline aeroelastic model.…”
Section: Introductionmentioning
confidence: 99%