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Numerical calculation for nonlinear waves in water of arbitrarily varying depth with Boussinesq equations
Zhu, LS; Hong, GW; Zhu, LS, Chinese Acad Sci, S China Sea Inst Oceanol, Guangzhou 510301, Peoples R China
2001
Source PublicationCHINA OCEAN ENGINEERING
ISSN0890-5487
Volume15Issue:3Pages:355-369
AbstractBased on the high order nonlinear and dispersive wave equation with a dissipative term, a numerical model for nonlinear waves is developed, It is suitable to calculate wave propagation in water areas with an arbitrarily varying bottom slope and a relative depth h/L(0)less than or equal to1. By the application of the completely implicit stagger grid and central difference algorithm, discrete governing equations are obtained. Although the central difference algorithm of second-order accuracy both in time and space domains is used to yield the difference equations, the order of truncation error in the difference equation is the same as that of the third-order derivatives of the Boussinesq equation. In this paper, the correction to the first-order derivative is made, and the accuracy of the difference equation is improved. The verifications of accuracy show that the results of the numerical model are in good agreement with those of analytical Solutions and physical models.
DepartmentChinese Acad Sci, S China Sea Inst Oceanol, Guangzhou 510301, Peoples R China; Hohai Univ, Coastal & Ocean Engn Res Inst, Nanjing 210098, Peoples R China
KeywordNonlinear Wave Boussinesq Equation Arbitrarily Varying Depth Numerical Calculation
Subject AreaEngineering, Civil ; Engineering, Ocean ; Engineering, Mechanical ; Water Resources
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Indexed Bysci
Funding Project海洋地质
WOS IDWOS:000172314700004
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.scsio.ac.cn/handle/344004/4690
Collection中科院边缘海地质重点实验室
Corresponding AuthorZhu, LS, Chinese Acad Sci, S China Sea Inst Oceanol, Guangzhou 510301, Peoples R China
Recommended Citation
GB/T 7714
Zhu, LS,Hong, GW,Zhu, LS, Chinese Acad Sci, S China Sea Inst Oceanol, Guangzhou 510301, Peoples R China. Numerical calculation for nonlinear waves in water of arbitrarily varying depth with Boussinesq equations[J]. CHINA OCEAN ENGINEERING,2001,15(3):355-369.
APA Zhu, LS,Hong, GW,&Zhu, LS, Chinese Acad Sci, S China Sea Inst Oceanol, Guangzhou 510301, Peoples R China.(2001).Numerical calculation for nonlinear waves in water of arbitrarily varying depth with Boussinesq equations.CHINA OCEAN ENGINEERING,15(3),355-369.
MLA Zhu, LS,et al."Numerical calculation for nonlinear waves in water of arbitrarily varying depth with Boussinesq equations".CHINA OCEAN ENGINEERING 15.3(2001):355-369.
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