Modeling of Spatial Wind-Wave Correlations

Abstract

Wind-tunnel measurements of three components of mean wind and turbulence quantities, above a rigid threedimensional realization of ocean waves, are reported. Based on the measurements a model is proposed for the cross correlations between wind uctuations and the wave surface, including phase relations between the different components. The experiments are novel in the sense that spatial correlations are measured above a realistic multicomponent ocean-like wave surface, de ned through its energy spectrum. The relevance of the model to ows above moving water waves are discussed through comparisons with other experimental results, for both moving and stationary waves. Nomenclaturec = wave velocity, m/s F f g = Fourier transform H = wave height for harmonic surface, 2 £ amplitude H s = signi cant wave height, 4¾ h h.x; y; t / = wave elevation, m .k x ; k y / = wave numbers in the x -y plane, rad/m k 0 = surface elevation wave number 2¼=L, rad/m L = mean wavelength, m Q ®¯.

Impact of Wind Disturbances on Vehicle Station Keeping and Trajectory Following

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