کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1721266 1014478 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Alternative forms of the higher-order Boussinesq equations: Derivations and validations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی دریا (اقیانوس)
پیش نمایش صفحه اول مقاله
Alternative forms of the higher-order Boussinesq equations: Derivations and validations
چکیده انگلیسی

An alternative form of the Boussinesq equations is developed, creating a model which is fully nonlinear up to O(μ4) (μ is the ratio of water depth to wavelength) and has dispersion accurate to the Padé [4,4] approximation. No limitation is imposed on the bottom slope; the variable distance between free surface and sea bottom is accounted for by a σ-transformation. Two reduced forms of the model are also presented, which simplify O(μ4) terms using the assumption ε = O(μ2/3) (ε is the ratio of wave height to water depth). These can be seen as extensions of Serre's equations, with dispersions given by the Padé [2,2] and Padé [4,4] approximations. The third-order nonlinear characteristics of these three models are discussed using Fourier analysis, and compared to other high-order formulations of the Boussinesq equations. The models are validated against experimental measurements of wave propagation over a submerged breakwater. Finally, the nonlinear evolution of wave groups along a horizontal flume is simulated and compared to experimental data in order to investigate the effects of the amplitude dispersion and the four-wave resonant interaction.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Coastal Engineering - Volume 55, Issue 6, June 2008, Pages 506–521
نویسندگان
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