کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4963965 1447417 2017 58 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On displacement shallow water wave equation and symplectic solution
ترجمه فارسی عنوان
در جابه جایی معادله موج آب کم عمق و راه حل سیمپلکتیک
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
In this paper, the shallow water wave problem is discussed in the Lagrangian description. By using the Hamilton variational principle in analytical mechanics, a displacement shallow water wave equation (DSWWE) is developed for the shallow water wave problem with a sloping water bottom and wet-dry interface. A numerical scheme based on the discretized Hamilton principle is constructed for solving the proposed displacement shallow water wave equation. The proposed numerical scheme is symplectic and explicit, and can preserve the total energy and mass of the shallow water system in the discrete sense. The correctness of the DSWWE and the effectiveness of the proposed numerical scheme are verified by using four classical numerical examples. Numerical examples show that the proposed method performs well with respect to the simulation of the shallow water problem with a sloping water bottom and wet-dry interface.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 318, 1 May 2017, Pages 431-455
نویسندگان
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