کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8256342 1533985 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Observation of dispersive shock waves developing from initial depressions in shallow water
ترجمه فارسی عنوان
مشاهده امواج شوک پراکنده از دهه های اولیه در آب کم عمق
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
We investigate surface gravity waves in a shallow water tank, in the limit of long wavelengths. We report the observation of non-stationary dispersive shock waves rapidly expanding over a 90 m flume. They are excited by means of a wave maker that allows us to launch a controlled smooth (single well) depression with respect to the unperturbed surface of the still water, a case that contains no solitons. The dynamics of the shock waves are observed at different levels of nonlinearity equivalent to a different relative smallness of the dispersive effect. The observed undulatory behavior is found to be in good agreement with the dynamics described in terms of a Korteweg-de Vries equation with evolution in space, though in the most nonlinear cases the description turns out to be improved over the quasi linear trailing edge of the shock by modeling the evolution in terms of the integro-differential (nonlocal) Whitham equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 333, 15 October 2016, Pages 276-284
نویسندگان
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