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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
发表期刊CHINA OCEAN ENGINEERING
ISSN0890-5487
卷号15期号:3页码:355-369
摘要Based 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.
部门归属Chinese Acad Sci, S China Sea Inst Oceanol, Guangzhou 510301, Peoples R China; Hohai Univ, Coastal & Ocean Engn Res Inst, Nanjing 210098, Peoples R China
关键词Nonlinear Wave Boussinesq Equation Arbitrarily Varying Depth Numerical Calculation
学科领域Engineering, Civil ; Engineering, Ocean ; Engineering, Mechanical ; Water Resources
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收录类别sci
资助项目海洋地质
WOS记录号WOS:000172314700004
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被引频次:4[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.scsio.ac.cn/handle/344004/4690
专题中科院边缘海地质重点实验室
通讯作者Zhu, LS, Chinese Acad Sci, S China Sea Inst Oceanol, Guangzhou 510301, Peoples R China
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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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