Time-dependent equations for wave propagation on rapidly varying topography
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Title
- Time-dependent equations for wave propagation on rapidly varying topography
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Author(s)
- Suh, KD; Lee, C; Park, WS
- KIOST Author(s)
- Park, Woo Sun(박우선)
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Alternative Author(s)
- 이창훈; 박우선
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Publication Year
- 1997-11
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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.
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ISSN
- 0378-3839
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URI
- https://sciwatch.kiost.ac.kr/handle/2020.kiost/6362
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DOI
- 10.1016/S0378-3839(97)81745-0
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Bibliographic Citation
- COASTAL ENGINEERING, v.32, no.2-3, pp.91 - 117, 1997
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Publisher
- ELSEVIER SCIENCE BV
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Subject
- MILD-SLOPE EQUATION; SURFACE-WAVES; WATER-WAVES; REFLECTION; SCATTERING; BEDS
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Keywords
- numerical model; surface waves; wave equation; wave scattering
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Type
- Article
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Language
- English
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Document Type
- Article
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