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Nonlinear harmonic generation by diurnal tides |
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| Institution: | 1. Division of Marine Science, The University of Southern Mississippi, Stennis Space Center, MS, USA;2. Center for Ocean-Atmospheric Prediction Studies, Florida State University, Tallahassee, FL, USA;3. Oceanography Division, Naval Research Laboratory, Code 7323, Stennis Space Center, MS, USA;4. Department of Earth and Environmental Sciences, University of Michigan, Ann Arbor, MI, USA |
| Abstract: | Recent observations from the South China Sea have demonstrated that semi-diurnal tides sometimes generate a double-frequency harmonic. Similar harmonic generation has been found in laboratory experiments and numerical simulations of internal wave beams refracting into a pycnocline. Here, a weakly nonlinear theory of internal wave refraction is applied to oceanic internal tides in an idealized stratification profile. The steady state harmonic amplitude is calculated as a function of the tidal frequency and the pycnocline characteristics. The results indicate that harmonic generation by nonlinear refraction of semi-diurnal tides is consistent with the South China Sea observations. |
| Keywords: | Diurnal tides Harmonics Nonlinear internal waves |
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