Time-dependent equations for wave propagation on rapidly varying topography SCIE SCOPUS

Cited 104 time in WEB OF SCIENCE Cited 0 time in Scopus
Title
Time-dependent equations for wave propagation on rapidly varying topography
Author(s)
Suh, KD; Lee, C; Park, WS
KIOST Author(s)
Park, Woo Sun(박우선)
Publication Year
1997-11
Abstract
Two time-dependent equations for wave propagation on rapidly varying topography are developed using different theoretical approaches and are shown to be identical. The developed equations include higher-order bottom effect terms proportional to the square of bottom slope and to the bottom curvature. Without these higher-order terms, the equations developed are reduced to the time-dependent mild-slope equations of Smith and Sprinks and Radder and Dingemans, respectively. For a monochromatic wave, the equation reduces to the extended refraction-diffraction equation of Massel or the modified mild-slope equation of Chamberlain and Porter, which in turn, without the higher-order terms, reduces to the Berkhoff's mild-slope equation. For a monochromatic wave, the theory is verified against other theoretical and experimental results related to the waves propagating over a plane slope with different inclination and over a patch of periodic ripples. For random waves, numerical tests are made for the transmission of unidirectional random waves normally incident on a finite ripple patch. (C) 1997 Elsevier Science B.V.
ISSN
0378-3839
URI
https://sciwatch.kiost.ac.kr/handle/2020.kiost/6362
DOI
10.1016/S0378-3839(97)81745-0
Bibliographic Citation
COASTAL ENGINEERING, v.32, no.2-3, pp.91 - 117, 1997
Publisher
ELSEVIER SCIENCE BV
Subject
MILD-SLOPE EQUATION; SURFACE-WAVES; WATER-WAVES; REFLECTION; SCATTERING; BEDS
Keywords
numerical model; surface waves; wave equation; wave scattering
Type
Article
Language
English
Document Type
Article
Publisher
ELSEVIER SCIENCE BV
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