Efficient finite difference scheme for improved Boussinesq equations

J. M. Zhan; Yok Sheung Li

Efficient finite difference scheme for improved Boussinesq equations

J. M. Zhan, Yok Sheung Li

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

In this paper, an efficient finite difference scheme for solving the improved Boussinesq equations as derived by Beji and Nodaoka (1996) is proposed. The alternate direction iterative method combined with an efficient predictor-corrector scheme are adopted for the numerical solution of the governing differential equations. The proposed numerical scheme is verified by three test cases where experimental data are available for comparison. The first case is wave focusing by bottom topography as studied by Whalin (1971). The second case is wave diffraction around a single breakwater by Briggs et al. (1995). The third case is wave diffraction over a shoal as reported by Briggs (1987) and Vincent and Briggs (1989). Numerical results agree very well with the corresponding experimental data in the cases.

Original language	English
Title of host publication	Proceedings of the International Offshore and Polar Engineering Conference
Publisher	ISOPE
Pages	209-213
Number of pages	5
Publication status	Published - 1 Jan 2000
Externally published	Yes
Event	Proceeedings of the 10th International Offshore and Polar Engineering Conference - Seattle, WA, United States Duration: 28 May 2000 → 2 Jun 2000

Conference

Conference	Proceeedings of the 10th International Offshore and Polar Engineering Conference
Country/Territory	United States
City	Seattle, WA
Period	28/05/00 → 2/06/00

ASJC Scopus subject areas

Ocean Engineering

Cite this

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title = "Efficient finite difference scheme for improved Boussinesq equations",

abstract = "In this paper, an efficient finite difference scheme for solving the improved Boussinesq equations as derived by Beji and Nodaoka (1996) is proposed. The alternate direction iterative method combined with an efficient predictor-corrector scheme are adopted for the numerical solution of the governing differential equations. The proposed numerical scheme is verified by three test cases where experimental data are available for comparison. The first case is wave focusing by bottom topography as studied by Whalin (1971). The second case is wave diffraction around a single breakwater by Briggs et al. (1995). The third case is wave diffraction over a shoal as reported by Briggs (1987) and Vincent and Briggs (1989). Numerical results agree very well with the corresponding experimental data in the cases.",

author = "Zhan, {J. M.} and Li, {Yok Sheung}",

year = "2000",

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day = "1",

language = "English",

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note = "Proceeedings of the 10th International Offshore and Polar Engineering Conference ; Conference date: 28-05-2000 Through 02-06-2000",

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TY - GEN

T1 - Efficient finite difference scheme for improved Boussinesq equations

AU - Zhan, J. M.

AU - Li, Yok Sheung

PY - 2000/1/1

Y1 - 2000/1/1

N2 - In this paper, an efficient finite difference scheme for solving the improved Boussinesq equations as derived by Beji and Nodaoka (1996) is proposed. The alternate direction iterative method combined with an efficient predictor-corrector scheme are adopted for the numerical solution of the governing differential equations. The proposed numerical scheme is verified by three test cases where experimental data are available for comparison. The first case is wave focusing by bottom topography as studied by Whalin (1971). The second case is wave diffraction around a single breakwater by Briggs et al. (1995). The third case is wave diffraction over a shoal as reported by Briggs (1987) and Vincent and Briggs (1989). Numerical results agree very well with the corresponding experimental data in the cases.

AB - In this paper, an efficient finite difference scheme for solving the improved Boussinesq equations as derived by Beji and Nodaoka (1996) is proposed. The alternate direction iterative method combined with an efficient predictor-corrector scheme are adopted for the numerical solution of the governing differential equations. The proposed numerical scheme is verified by three test cases where experimental data are available for comparison. The first case is wave focusing by bottom topography as studied by Whalin (1971). The second case is wave diffraction around a single breakwater by Briggs et al. (1995). The third case is wave diffraction over a shoal as reported by Briggs (1987) and Vincent and Briggs (1989). Numerical results agree very well with the corresponding experimental data in the cases.

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M3 - Conference article published in proceeding or book

SP - 209

EP - 213

BT - Proceedings of the International Offshore and Polar Engineering Conference

PB - ISOPE

T2 - Proceeedings of the 10th International Offshore and Polar Engineering Conference

Y2 - 28 May 2000 through 2 June 2000

ER -

Efficient finite difference scheme for improved Boussinesq equations

Abstract

Conference

ASJC Scopus subject areas

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