, Volume 128, Issue 2, pp 229-254

A Mixed Spectral-Integration Model for Neutral Mean Wind Flow Over Hills

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Abstract

A linear model for neutral surface-layer flow over orography is presented. The Reynolds-Averaged Navier-Stokes and E ${\varepsilon}$ turbulence closure equations are expressed in a terrain-following coordinate system created from a simple analytical expression in the Fourier domain. The perturbation equations are solved spectrally horizontally and by numerical integration vertically. Non-dimensional solutions are stored in look-up tables for quick re-use. Model results are compared to measurements, as well as other authors’ flow models in three test cases. The model is implemented and tested in two-dimensional space; the equations for a full three-dimensional version are presented.