Simulations of Turbulent Flow Over Complex Terrain Using an Immersed-Boundary Method
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We present an immersed-boundary method to simulate high-Reynolds-number turbulent flow over the complex terrain of Askervein and Bolund Hills under neutrally-stratified conditions. We reconstruct both the velocity and the eddy-viscosity fields in the terrain-normal direction to produce turbulent stresses as would be expected from the application of a surface-parametrization scheme based on Monin–Obukhov similarity theory. We find that it is essential to be consistent in the underlying assumptions for the velocity reconstruction and the eddy-viscosity relation to produce good results. To this end, we reconstruct the tangential component of the velocity field using a logarithmic velocity profile and adopt the mixing-length model in the near-surface turbulence model. We use a linear interpolation to reconstruct the normal component of the velocity to enforce the impermeability condition. Our approach works well for both the Askervein and Bolund Hills when the flow is attached to the surface, but shows slight disagreement in regions of flow recirculation, despite capturing the flow reversal.
KeywordsComplex terrain Immersed-boundary method Large-eddy simulation Turbulence Wind energy
This material is based upon work supported by the National Science Foundation under Grant Nos. 1056110 and 1229709. The first author would like to acknowledge the University of Idaho President’s Doctoral Scholars Award. We thank Prof. Ralph Budwig of the University of Idaho for helpful discussions and his continuous mentorship.
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