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Second-Order Time-Dependent Mild-Slope Equation for Wave Transformation
Joint Authors
Hsu, John R. C.
Tsai, Ching-Piao
Chen, Hong-Bin
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This study is to propose a wave model with both wave dispersivity and nonlinearity for the wave field without water depth restriction.
A narrow-banded sea state centred around a certain dominant wave frequency is considered for applications in coastal engineering.
A system of fully nonlinear governing equations is first derived by depth integration of the incompressible Navier-Stokes equation in conservative form.
A set of second-order nonlinear time-dependent mild-slope equations is then developed by a perturbation scheme.
The present nonlinear equations can be simplified to the linear time-dependent mild-slope equation, nonlinear long wave equation, and traditional Boussinesq wave equation, respectively.
A finite volume method with the fourth-order Adams-Moulton predictor-corrector numerical scheme is adopted to directly compute the wave transformation.
The validity of the present model is demonstrated by the simulation of the Stokes wave, cnoidal wave, and solitary wave on uniform depth, nonlinear wave shoaling on a sloping beach, and wave propagation over an elliptic shoal.
The nearshore wave transformation across the surf zone is simulated for 1D wave on a uniform slope and on a composite bar profile and 2D wave field around a jetty.
These computed wave height distributions show very good agreement with the experimental results available.
American Psychological Association (APA)
Tsai, Ching-Piao& Chen, Hong-Bin& Hsu, John R. C.. 2014. Second-Order Time-Dependent Mild-Slope Equation for Wave Transformation. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-464223
Modern Language Association (MLA)
Tsai, Ching-Piao…[et al.]. Second-Order Time-Dependent Mild-Slope Equation for Wave Transformation. Mathematical Problems in Engineering No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-464223
American Medical Association (AMA)
Tsai, Ching-Piao& Chen, Hong-Bin& Hsu, John R. C.. Second-Order Time-Dependent Mild-Slope Equation for Wave Transformation. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-464223
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464223