Numerical modeling of Boussinesq equations by finite element method

Yok Sheung Li; S. X. Liu; Y. X. Yu; G. Z. Lai

doi:10.1016/S0378-3839(99)00014-9

Numerical modeling of Boussinesq equations by finite element method

Yok Sheung Li, S. X. Liu, Y. X. Yu, G. Z. Lai

Research output: Journal article publication › Journal article › Academic research › peer-review

94 Citations (Scopus)

Abstract

In this paper, a numerical model based on the improved Boussinesq equations derived by Beji and Nadaoka is presented. The finite element method is used to discretize the spatial derivatives. Quadrilateral elements with linear interpolating functions are employed for the two horizontal velocity components and the water surface elevation. The time integration is performed using the Adams-Bashforth-Moulton predictor-corrector method. Five test cases for which either theoretical solutions or laboratory results are available are employed to test the proposed scheme. The model is capable of giving satisfactory predictions in all cases.

Original language	English
Pages (from-to)	97-122
Number of pages	26
Journal	Coastal Engineering
Volume	37
Issue number	2
DOIs	https://doi.org/10.1016/S0378-3839(99)00014-9
Publication status	Published - 1 Jan 1999

Keywords

Absorbing boundaries
Boussinesq equations
Finite element

ASJC Scopus subject areas

Environmental Engineering
Ocean Engineering

More information

10.1016/S0378-3839(99)00014-9

Cite this

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title = "Numerical modeling of Boussinesq equations by finite element method",

abstract = "In this paper, a numerical model based on the improved Boussinesq equations derived by Beji and Nadaoka is presented. The finite element method is used to discretize the spatial derivatives. Quadrilateral elements with linear interpolating functions are employed for the two horizontal velocity components and the water surface elevation. The time integration is performed using the Adams-Bashforth-Moulton predictor-corrector method. Five test cases for which either theoretical solutions or laboratory results are available are employed to test the proposed scheme. The model is capable of giving satisfactory predictions in all cases.",

keywords = "Absorbing boundaries, Boussinesq equations, Finite element",

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year = "1999",

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T1 - Numerical modeling of Boussinesq equations by finite element method

AU - Li, Yok Sheung

AU - Liu, S. X.

AU - Yu, Y. X.

AU - Lai, G. Z.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - In this paper, a numerical model based on the improved Boussinesq equations derived by Beji and Nadaoka is presented. The finite element method is used to discretize the spatial derivatives. Quadrilateral elements with linear interpolating functions are employed for the two horizontal velocity components and the water surface elevation. The time integration is performed using the Adams-Bashforth-Moulton predictor-corrector method. Five test cases for which either theoretical solutions or laboratory results are available are employed to test the proposed scheme. The model is capable of giving satisfactory predictions in all cases.

AB - In this paper, a numerical model based on the improved Boussinesq equations derived by Beji and Nadaoka is presented. The finite element method is used to discretize the spatial derivatives. Quadrilateral elements with linear interpolating functions are employed for the two horizontal velocity components and the water surface elevation. The time integration is performed using the Adams-Bashforth-Moulton predictor-corrector method. Five test cases for which either theoretical solutions or laboratory results are available are employed to test the proposed scheme. The model is capable of giving satisfactory predictions in all cases.

KW - Absorbing boundaries

KW - Boussinesq equations

KW - Finite element

UR - http://www.scopus.com/inward/record.url?scp=0033167143&partnerID=8YFLogxK

U2 - 10.1016/S0378-3839(99)00014-9

DO - 10.1016/S0378-3839(99)00014-9

M3 - Journal article

SN - 0378-3839

VL - 37

SP - 97

EP - 122

JO - Coastal Engineering

JF - Coastal Engineering

IS - 2

ER -

Numerical modeling of Boussinesq equations by finite element method

Abstract

Keywords

ASJC Scopus subject areas

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