A Generalized, Unstructured Interpolative Interface method for Rotor-Stator Interactions

Hyams, Daniel; Sreenivas, Kidambi; Webster, Robert S.; Currier, Nicholas

doi:10.2514/6.2011-3700

Cited by 15 publications

(10 citation statements)

References 10 publications

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“…However, this has not been observed in practice and points that are very close to each other have approximately the same solution values. Further details on the parallel implementation of the sliding interface algorithm are available in Hyams et al …”

Section: Methodssupporting

confidence: 65%

Blade‐resolved simulations of a model wind turbine: effect of temporal convergence

et al. 2015

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Simulations of a model wind turbine at various tip-speed-ratios were carried out using Tenasi, a node-centered, finite volume unstructured flow solver. The simulations included the tunnel walls, tower, nacelle, hub and the blades. The effect of temporal convergence on the predicted thrust and power coefficients is evaluated and guidelines for best practices are established. The results presented here are for tip-speed-ratios of 3, 6 and 10, with 6 being the design point. All simulations were carried out at a freestream velocity of 10 m s À1 with an incoming boundary layer present and the wind turbine RPM was varied to achieve the desired tip-speed-ratio. The performance of three turbulence models is evaluated. The models include a one-equation model (Spalart-Allmaras), a two-equation model (Menter SST) and the DES version of the Menter SST. Turbine performance as well as wake data at various locations is compared to experiment. All the turbulence models performed well in terms of predicting power and thrust coefficients. The DES model was significantly better than the other two turbulence models for predicting the mean and fluctuating components of the velocity in the wake.

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Section: Methodssupporting

confidence: 65%

Blade‐resolved simulations of a model wind turbine: effect of temporal convergence

et al. 2015

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“…Huan et al investigated the removal of halo cells whereas work by Epstein and Peigin demonstrated an innovative method utilising clusters along each interface. A basic interpolation applied to discontinuous interfaces on an unstructured mesh has been considered by Hyams et al , whereas a high‐order method for overset meshes has been considered by Lee et al . Finally, an investigation of higher‐order interpolation schemes for patch interfaces has been performed by Peers et al on the basis of the work of Tam and Kurbatskii .…”

Section: Introductionmentioning

confidence: 99%

Numerical study of radial basis function interpolation for data transfer across discontinuous mesh interfaces

Costin

Allen

2013

Numerical Methods in Fluids

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SUMMARYAllowing discontinuous or non‐matching mesh spacing across zonal interfaces within a computational domain offers many advantages, particularly in terms of easing the mesh generation process, reduction of required mesh densities, and relative motion between mesh zones. This paper presents a numerical study of a universal method for interpolating solution data across such interfaces. The method utilises radial basis functions (RBFs) for n‐dimensional volume interpolation, and treats the available solution data points simply as arbitrary clouds of points, eliminating all connectivity requirements and making it applicable to a wide range of computational problems. Properties of the developed meshless interface interpolation are investigated using analytic functions, and three issues are considered: the achievable order of spatial accuracy of the RBF interpolation alone and comparison with a variable order polynomial; the effect of a combined RBF and polynomial interpolation; and the ability of the method to recover frequency content. RBF interpolation alone is shown to achieve fourth‐order to sixth‐order spatial accuracy in one and two dimensions, and in three dimensions, using a small number of data points, third‐order and above is achievable even for a 3 : 1 discontinuous cell spacing ratio, that is a 27 : 1 volume ratio, across the interface. Hence, it is inefficient to include polynomial terms, since improving on the RBF spatial accuracy results in a significant increase in the system size and deterioration in conditioning. It is also shown that only five points per wavelength are required to capture both frequency and amplitude content of periodic solutions to less than 0.01% error.Copyright © 2013 John Wiley & Sons, Ltd.

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“…Points that are very close to each other have approximately the same solution values. Further details on parallel implementation of the sliding interface algorithm are given by Hyams et al [34,35].…”

Section: Discussionmentioning

confidence: 99%

A parabolic velocity-decomposition method for wind turbines

Mittal¹,

Briley²,

Sreenivas³

et al. 2017

Journal of Computational Physics

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An economical parabolized Navier-Stokes approximation for steady incompressible flow is combined with a compatible wind turbine model to simulate wind turbine flows, both upstream of the turbine and in downstream wake regions. The inviscid parabolizing approximation is based on a Helmholtz decomposition of the secondary velocity vector and physical order-of-magnitude estimates, rather than an axial pressure gradient approximation. The wind turbine is modeled by distributed source-term forces incorporating time-averaged aerodynamic forces generated by a blade-element momentum turbine model. A solution algorithm is given whose dependent variables are streamwise velocity, streamwise vorticity, and pressure, with secondary velocity determined by twodimensional scalar and vector potentials. In addition to laminar and turbulent boundarylayer test cases, solutions for a streamwise vortex convection test problem are assessed by mesh refinement and comparison with Navier-Stokes solutions using the same grid. Computed results for a single turbine and a three-turbine array are presented using the NREL offshore 5-MW baseline wind turbine. These are also compared with an unsteady Reynolds-averaged Navier-Stokes solution computed with full rotor resolution. On balance, the agreement in turbine wake predictions for these test cases is very encouraging given the substantial differences in physical modeling fidelity and computer resources required.

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A Generalized, Unstructured Interpolative Interface method for Rotor-Stator Interactions

Cited by 15 publications

References 10 publications

Blade‐resolved simulations of a model wind turbine: effect of temporal convergence

Blade‐resolved simulations of a model wind turbine: effect of temporal convergence

Numerical study of radial basis function interpolation for data transfer across discontinuous mesh interfaces

A parabolic velocity-decomposition method for wind turbines

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