Note on the Growth Rate of Water Waves Propagating at an Arbitrary Angle to the Wind |
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| Authors: | J F Meirink V K Makin V N Kudryavtsev |
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| Institution: | (1) Royal Netherlands Meteorological Institute (KNMI), De Bilt, The Netherlands;(2) Marine Hydrophysical Institute, Sebastopol, Ukraine |
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| Abstract: | The dependence of the turbulent airflow over water waves on the angle, , between mean wind and wavedirections is investigated. To this end,an existing semi-analytical model is extended. In this model, the main simplification of the problem is obtained by using the well-established divisionof the wave boundary layer into inner and outer regions for modelling turbulence. The effect of waves on turbulence is restricted to the thin inner region. Simulations show that the influence of the wind speed component transverse to the wave direction on the air flow, and hence on the growth rate of the waves, is small. This is confirmed by calculations with a numerical model that solves the full Reynolds equations using a second-order turbulence closure scheme. The growth rate of slowly moving waves (as compared to the wind speed) is then proportional to cos2, whereas, for faster waves, it has a narrower angular distribution. |
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| Keywords: | Air flow Growth rate of water waves Water waves |
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