Numerical solution of a mathematical model for water waves in large coastal areas

Zheng Yonghong; Shen Yongming; Qiu Dahong; Xia Jin

Volume 22 Issue 5

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Haiyang Xuebao > 2000 > 22(5): 106-114

Zheng Yonghong, Shen Yongming, Qiu Dahong, Xia Jin. Numerical solution of a mathematical model for water waves in large coastal areas[J]. Haiyang Xuebao, 2000, 22(5): 106-114.

Citation:

Zheng Yonghong, Shen Yongming, Qiu Dahong, Xia Jin. Numerical solution of a mathematical model for water waves in large coastal areas[J]. Haiyang Xuebao, 2000, 22(5): 106-114.

Zheng Yonghong, Shen Yongming, Qiu Dahong, Xia Jin. Numerical solution of a mathematical model for water waves in large coastal areas[J]. Haiyang Xuebao, 2000, 22(5): 106-114.

Citation:

Zheng Yonghong, Shen Yongming, Qiu Dahong, Xia Jin. Numerical solution of a mathematical model for water waves in large coastal areas[J]. Haiyang Xuebao, 2000, 22(5): 106-114.

PDF( 547 KB)

Numerical solution of a mathematical model for water waves in large coastal areas

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023
2.
Dalian Design & Research Institute of Environmental Science, Dalian 116023

Received Date: 2000-01-21
Rev Recd Date: 2000-03-27

Abstract

Abstract

Based on the evolution equation for water waves,a mathematical model for wave propagation in large mild-slope areas is derived.The model is solved by the finite difference method with the staggered grid system.The computational results are in good agreement with experimental data and show that better results with relatively coarser grids can also be obtained by the model.The model can be used to simulate water wave propagation in large coastal areas and can be efficiently solved with little programming effort.
- Water wave,
- mathematical model,
- numerical solution

FullText(HTML)

References(9)

References

Berkhoff J C W.Computation of combined refraction-diffraction.Proc 13th Coastal Eng Conf,Vol.1.Vancouver:ASCE,1972.471～490

Panchang V G,Pearce B R.Solution of the mild-slope wave problem by iteration.Appl Ocean Res,1991,13(4):187～199

Radder A C.On the parabolic equation method for water-wave propagation.J Fluid Mech,1979,95:159～176

Kirby J T,Dalrymple R A.Verification of a parabolic equation for propagation of weakly-nonlinear waves.Coastal Engineering,1984,8:219～232

Dodd N.Efficient higher-order finite-difference schemes for parabolic models.Coastal Engineering,1996,28:57～92

Li Bin.An evolution equation for water waves.Coastal Engineering,1994,23:227～242

Battjes J A.Refraction of water waves.J Waterway and Harbor Div,ASCE,1968,94:437～451

Ito T,Tanimoto K.A method of numerical analysis of wave propagation-application to wave diffraction and refraction.Proc 13th Int Coastal Eng Conf.Vancouver:ASCE,1972.503～522

Berkhoff J C W,Booy N,Radder A C.Verification of numerical wave propagation models for simple harmonic linear water waves.Coastal Engineering,1982,6:225～279

Relative Articles

[1]	Liu Bijin, Zhang Zhenwei, Liu Zhongbo, Fu Danjuan, Chen Xiaoyun. Simulating the evolution of a focused wave group by a Boussinesq-type model[J]. Haiyang Xuebao, 2021, 43(3): 31-39. doi: 10.12284/hyxb2021047
[2]	Wang Ya, He Qing, Shen Jian. The study of the transport timescale in the Changjiang Estuary[J]. Haiyang Xuebao, 2014, 36(1): 48-55. doi: 10.3969/j.issn.0253-4193.2014.01.006
[3]	LI Mingchuan, FAN Shuanshi. Thermal infection analysis on hot water flooding dissociation frontal brim of natural gas hydrates[J]. Haiyang Xuebao, 2012, 34(5): 116-119.
[4]	ZHOU Bin-zhen, NING De-zhi, TENG Bin, SONG Wei-hua. The numerical simulation of fully nonlinear deep-water waves[J]. Haiyang Xuebao, 2011, 33(1): 27-35.
[5]	LIU Zhong-bo, ZOU Zhi-li, SUN Zhao-chen. Enhanced Boussinesq equations for rapidly varying topographies and their one-dimensional numerical validation[J]. Haiyang Xuebao, 2008, 30(3): 117-125.
[6]	LIU Long-long, ZHAI Shi-kui. The basic mathematic model for normal black smoker system and hydrothermal megaplume[J]. Haiyang Xuebao, 2006, 28(6): 53-60.
[7]	ZHAO Ming, TENG Bin. An efficient finite element solver for the elliptic mild-slope equation[J]. Haiyang Xuebao, 2002, 24(1): 117-123.
[8]	ZHU Zhi-xia, HAN Qi-wei, DING Ping-xing. Mathematical model of coastal suspended sediment transport[J]. Haiyang Xuebao, 2002, 24(1): 101-107.
[9]	ZHENG Yong-hong, SHEN Yong-ming, YOU Ya-ge, WU Chao. Numerical simulation of a practical model for wave set-up[J]. Haiyang Xuebao, 2002, 24(2): 121-126.
[10]	SUN Lin-yun, PAN Jun-ning, XING Fu, LIU Jia-ju. Numerical modelling of coastline deformation for sandy beach at downstream of a jetty[J]. Haiyang Xuebao, 2001, 23(5): 121-129.
[11]	Zheng Yonghong, Shen Yongming, Qiu Dahong. Calculation of wave radiation stresses connected with the parabolic mild-slope equation[J]. Haiyang Xuebao, 2000, 22(6): 110-116.
[12]	Lin Gang, Qiu Dahong. The variational principal and numerical simulation of parabolic mild-slope equation[J]. Haiyang Xuebao, 2000, 22(1): 125-130.
[13]	Liu Baoyin, Wang Yanfeng. Remote sensing composite information’s trend surface analysis of Nansha Islands coral islets and reefs’ top[J]. Haiyang Xuebao, 1999, 21(3): 51-58.