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Development of a non-linear mixed spectral finite difference model for turbulent boundary-layer flow over topography

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Abstract

Further development of the non-linear mixed spectral finite difference (NLMSFD) model of turbulent boundary-layer flow over topography is documented. This includes modifications and refinements to the solution procedure, the incorporation of second-order turbulence closures to the model and the three-dimensional extension of the model. Based on these higher order closures, linear limitations, boundary-layer approximation and non-linear effects are discussed. The impact of different turbulence closures on the prediction of the NLMSFD model is also demonstrated. Furthermore, sample results for 3D idealized topography (sinusoidal) are presented. The parameterization of drag over small-scale topography is also addressed.

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Author notes

  1. Keith W. Ayotte

    Present address: NCAR, Atmospheric Environment Service of Canada MMM, Boulder, Colorado, USA

Authors and Affiliations

  1. Department of Earth and Atmospheric Science, York University, 4700 Keele Street, M3J 1P3, North York, Ontario, Canada

    Dapeng Xu, Keith W. Ayotte & Peter A. Taylor

Authors
  1. Dapeng Xu
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  2. Keith W. Ayotte
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  3. Peter A. Taylor
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Xu, D., Ayotte, K.W. & Taylor, P.A. Development of a non-linear mixed spectral finite difference model for turbulent boundary-layer flow over topography. Boundary-Layer Meteorol 70, 341–367 (1994). https://doi.org/10.1007/BF00713775

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  • DOI: https://doi.org/10.1007/BF00713775

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