کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1719911 1520250 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A finite difference method for effective treatment of mild-slope wave equation subject to non-reflecting boundary conditions
ترجمه فارسی عنوان
یک روش متمایز محدود برای درمان موثر معادله موج خفیف تحت شرایط مرزی غیر بازتابنده
کلمات کلیدی
امواج آب، شرایط مرزی غیر بازتابنده، معادله موج یک طرفه، معادله موج معکوس خفیف، روش اختلاف محدود
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی دریا (اقیانوس)
چکیده انگلیسی


• Effectiveness of one-way wave equations as non-reflecting boundary condition is studied.
• A compatible form of mild-slope wave equation is derived.
• The numerical method is extensively verified.

A numerical model for coastal water wave motion that includes an effective method for treatment of non-reflecting boundaries is presented. The second-order one-way wave equation to approximate the non-reflecting boundary condition is found to be excellent and it ensures a very low level of reflection for waves approaching the boundary at a fairly wide range of the incidence angle. If the Newman approximation is adopted, the resulting boundary condition has a unique property to allow the free propagation of wave components along the boundary. The study is also based on a newly derived mild-slope wave equation system that can be easily made compatible to the one-way wave equation. The equation system is theoretically more accurate than the previous equations in terms of the mild-slope assumption. The finite difference method defined on a staggered grid is employed to solve the basic equations and to implement the non-reflecting boundary condition. For verification, the numerical model is then applied to three coastal water wave problems including the classical problem of plane wave diffraction by a vertical circular cylinder, the problem of combined wave diffraction and refraction over a submerged hump in the open sea, and the wave deformation around a detached breakwater. In all cases, the numerical results are demonstrated to agree very well with the relevant analytical solutions or with experimental data. It is thus concluded that the numerical model proposed in this study is effective and advantageous.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Ocean Research - Volume 53, October 2015, Pages 179–189
نویسندگان
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