A three-dimensional wave field over a bidirectionally periodic ripple bottom

Chia Yan Cheng; Yang Yih Chen; Guan Yu Chen

doi:10.1016/j.oceaneng.2005.12.007

A three-dimensional wave field over a bidirectionally periodic ripple bottom

Chia Yan Cheng, Yang Yih Chen, Guan Yu Chen

Division of Field investigation

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

For gravity wave trains propagating over an arbitrary wavy bottom, a perturbation expansion is developed to the second order so that the Bragg resonance effect of the ripple bottom on the free-surface wave can be analyzed. Both the resonant and non-resonant cases are treated and the singular behavior at resonance is avoided. This theory is successfully verified by reducing to simpler situations. Then, the analytical results for the special case of a unidirectional sinusoidal bottom are compared with experimental data for validation.

Original language	English
Pages (from-to)	303-319
Number of pages	17
Journal	Ocean Engineering
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/j.oceaneng.2005.12.007
Publication status	Published - 2007 Feb

All Science Journal Classification (ASJC) codes

Environmental Engineering
Ocean Engineering

Access to Document

10.1016/j.oceaneng.2005.12.007

Cite this

@article{1d166c6b46574219b1c97afd5a0a2222,

title = "A three-dimensional wave field over a bidirectionally periodic ripple bottom",

abstract = "For gravity wave trains propagating over an arbitrary wavy bottom, a perturbation expansion is developed to the second order so that the Bragg resonance effect of the ripple bottom on the free-surface wave can be analyzed. Both the resonant and non-resonant cases are treated and the singular behavior at resonance is avoided. This theory is successfully verified by reducing to simpler situations. Then, the analytical results for the special case of a unidirectional sinusoidal bottom are compared with experimental data for validation.",

author = "Cheng, {Chia Yan} and Chen, {Yang Yih} and Chen, {Guan Yu}",

note = "Funding Information: This work was supported by research grants from Taiwan National Science Council under the project NSC93-2611-E-110-001. ",

year = "2007",

month = feb,

doi = "10.1016/j.oceaneng.2005.12.007",

language = "English",

volume = "34",

pages = "303--319",

journal = "Ocean Engineering",

issn = "0029-8018",

publisher = "Elsevier BV",

number = "2",

}

TY - JOUR

T1 - A three-dimensional wave field over a bidirectionally periodic ripple bottom

AU - Cheng, Chia Yan

AU - Chen, Yang Yih

AU - Chen, Guan Yu

N1 - Funding Information: This work was supported by research grants from Taiwan National Science Council under the project NSC93-2611-E-110-001.

PY - 2007/2

Y1 - 2007/2

N2 - For gravity wave trains propagating over an arbitrary wavy bottom, a perturbation expansion is developed to the second order so that the Bragg resonance effect of the ripple bottom on the free-surface wave can be analyzed. Both the resonant and non-resonant cases are treated and the singular behavior at resonance is avoided. This theory is successfully verified by reducing to simpler situations. Then, the analytical results for the special case of a unidirectional sinusoidal bottom are compared with experimental data for validation.

AB - For gravity wave trains propagating over an arbitrary wavy bottom, a perturbation expansion is developed to the second order so that the Bragg resonance effect of the ripple bottom on the free-surface wave can be analyzed. Both the resonant and non-resonant cases are treated and the singular behavior at resonance is avoided. This theory is successfully verified by reducing to simpler situations. Then, the analytical results for the special case of a unidirectional sinusoidal bottom are compared with experimental data for validation.

UR - http://www.scopus.com/inward/record.url?scp=33751438515&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751438515&partnerID=8YFLogxK

U2 - 10.1016/j.oceaneng.2005.12.007

DO - 10.1016/j.oceaneng.2005.12.007

M3 - Article

AN - SCOPUS:33751438515

SN - 0029-8018

VL - 34

SP - 303

EP - 319

JO - Ocean Engineering

JF - Ocean Engineering

IS - 2

ER -

A three-dimensional wave field over a bidirectionally periodic ripple bottom

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this