Simple and explicit solution of wave dispersion equation

Junke Guo

doi:10.1016/S0378-3839(02)00039-X

Simple and explicit solution of wave dispersion equation

Junke Guo

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

32 Scopus citations

Abstract

In this study, a simple and explicit solution to the wave dispersion equation is derived based on Guo's logarithmic matching. The proposed solution has a maximum relative error of 0.75% for any water depth that is sufficient for practical calculation. It can also be considered the first approximation for an iteration method if more accuracy is required. It may be useful under practical conditions or for inclusion in wave computer models.

Original language	English (US)
Pages (from-to)	71-74
Number of pages	4
Journal	Coastal Engineering
Volume	45
Issue number	2
DOIs	https://doi.org/10.1016/S0378-3839(02)00039-X
State	Published - Apr 2002
Externally published	Yes

Keywords

Dispersion equation
Linear wave theory
Wave celerity
Wave length
Wave number

ASJC Scopus subject areas

Environmental Engineering
Ocean Engineering

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10.1016/S0378-3839(02)00039-X

Cite this

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title = "Simple and explicit solution of wave dispersion equation",

abstract = "In this study, a simple and explicit solution to the wave dispersion equation is derived based on Guo's logarithmic matching. The proposed solution has a maximum relative error of 0.75% for any water depth that is sufficient for practical calculation. It can also be considered the first approximation for an iteration method if more accuracy is required. It may be useful under practical conditions or for inclusion in wave computer models.",

keywords = "Dispersion equation, Linear wave theory, Wave celerity, Wave length, Wave number",

author = "Junke Guo",

note = "Funding Information: This study is a part of the research project R-264-000-101-112 supported by National University of Singapore research funding.",

year = "2002",

month = apr,

doi = "10.1016/S0378-3839(02)00039-X",

language = "English (US)",

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pages = "71--74",

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AU - Guo, Junke

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PY - 2002/4

Y1 - 2002/4

N2 - In this study, a simple and explicit solution to the wave dispersion equation is derived based on Guo's logarithmic matching. The proposed solution has a maximum relative error of 0.75% for any water depth that is sufficient for practical calculation. It can also be considered the first approximation for an iteration method if more accuracy is required. It may be useful under practical conditions or for inclusion in wave computer models.

AB - In this study, a simple and explicit solution to the wave dispersion equation is derived based on Guo's logarithmic matching. The proposed solution has a maximum relative error of 0.75% for any water depth that is sufficient for practical calculation. It can also be considered the first approximation for an iteration method if more accuracy is required. It may be useful under practical conditions or for inclusion in wave computer models.

KW - Dispersion equation

KW - Linear wave theory

KW - Wave celerity

KW - Wave length

KW - Wave number

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JO - Coastal Engineering

JF - Coastal Engineering

SN - 0378-3839

IS - 2

ER -

Simple and explicit solution of wave dispersion equation

Abstract

Keywords

ASJC Scopus subject areas

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