کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
567798 | 876162 | 2007 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
From Euler and Navier–Stokes equations to shallow waters by asymptotic analysis
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزار
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we study the Navier–Stokes and Euler equations in a domain with small depth. With this aim, we introduce a small adimensional parameter ε related to the depth. First we make a change of variable to a domain independent of ε and then we use asymptotic analysis to study what happens when ε becomes small. This way we obtain two new models for ε small that, after coming back to the original domain and without making a priori assumptions about velocity or pressure behaviour, give us a shallow water model including a new diffusion term (obtained from Navier–Stokes equations) and a shallow water model without viscosity and explicit dependence on depth (obtained from Euler equations).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Engineering Software - Volume 38, Issue 6, June 2007, Pages 399–409
Journal: Advances in Engineering Software - Volume 38, Issue 6, June 2007, Pages 399–409
نویسندگان
J.M. Rodríguez, R. Taboada-Vázquez,