کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8256363 1534004 2015 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Whitham Equation as a model for surface water waves
ترجمه فارسی عنوان
معادله وثام به عنوان یک مدل برای امواج سطح آب
کلمات کلیدی
معادلات غیرمستقیم، معادلات پراکنده غیر خطی، مدل های همیلتون امواج انفرادی، امواج سطحی،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In this work, we identify a scaling regime in which the Whitham equation can be derived from the Hamiltonian theory of surface water waves. A Hamiltonian system of Whitham type allowing for two-way wave propagation is also derived. The Whitham equation is integrated numerically, and it is shown that the equation gives a close approximation of inviscid free surface dynamics as described by the Euler equations. The performance of the Whitham equation as a model for free surface dynamics is also compared to different free surface models: the KdV equation, the BBM equation, and the Padé (2,2) model. It is found that in a wide parameter range of amplitudes and wavelengths, the Whitham equation performs on par with or better than the three considered models.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 309, 1 August 2015, Pages 99-107
نویسندگان
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