کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8052225 1519393 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Modified shallow water equations for significantly varying seabeds
ترجمه فارسی عنوان
اصلاح معادلات آب کم عمق برای بوته های قابل ملاحظه ای متفاوت است
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی
In the present study, we propose a modified version of the Nonlinear Shallow Water Equations (Saint-Venant or NSWE) for irrotational surface waves in the case when the bottom undergoes some significant variations in space and time. The model is derived from a variational principle by choosing an appropriate shallow water ansatz and imposing some constraints. Our derivation procedure does not explicitly involve any small parameter and is straightforward. The novel system is a non-dispersive non-hydrostatic extension of the classical Saint-Venant equations. A key feature of the new model is that, like the classical NSWE, it is hyperbolic and thus similar numerical methods can be used. We also propose a finite volume discretisation of the obtained hyperbolic system. Several test-cases are presented to highlight the added value of the new model. Some implications to tsunami wave modeling are also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 40, Issues 23–24, December 2016, Pages 9767-9787
نویسندگان
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