Breaking of waves of limiting amplitude over an obstacle |
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Authors: | V Yu Liapidevskii Z Xu |
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Institution: | (1) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090;(2) Institute of Physical Oceanography, China Ocean University, Qingdao, 266003 |
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Abstract: | Homogeneous heavy fluid flows over an uneven bottom are studied in a long-wave approximation. A mathematical model is proposed
that takes into account both the dispersion effects and the formation of a turbulent upper layer due to the breaking of surface
gravity waves. The asymptotic behavior of nonlinear perturbations at the wave front is studied, and the conditions of transition
from smooth flows to breaking waves are obtained for steady-state supercritical flow over a local obstacle.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 3, pp. 3–11, May–June, 2006. |
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Keywords: | homogeneous fluid supercritical flow waves of limiting amplitude wave breaking |
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