کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1725278 1520684 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the linear stability of one- and two-layer Boussinesq-type equations for wave propagation over uneven beds
ترجمه فارسی عنوان
بر پایه ی خطی یک و دو لایه معادلات بوسیصنک برای انتشار موج بر روی تخت های ناهموار
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی دریا (اقیانوس)
چکیده انگلیسی


• Study of the linear stability of Boussinesq-type equations over uneven beds.
• A wide range of Boussinesq-type equations is studied, including one- and two-layer models.
• A simple expression is given for the shoaling error evaluation.
• We find new sets of coefficients that make the equations more stable.
• The theoretical results are applied to numerical schemes to show the improvement of the stability.

Bousssinesq-type equations are a powerful tool to model the wave propagation from intermediate waters to the shore. By construction, these equations have a good performance in weakly dispersive conditions, and a great effort has been done during the last 20 years to increase their range of application to deeper waters; the improved equations introduce free coefficients that are chosen for this purpose. Some of the improved sets of equations show instabilities when numerically solved over uneven beds. In this work we show how these instabilities can be due to the equations (including the values of the involved coefficients) and not to the numerical scheme. We further introduce new sets of coefficients that optimize the linear performance while improving the linear stability of the equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ocean Engineering - Volume 106, 15 September 2015, Pages 446–457
نویسندگان
, , , ,