ZHENG Jun, LI Rui-jie, JIANG Sen-hui, LUO Feng. Finite element solution for mild-slope equation and its application[J]. Advances in Water Science, 2009, 20(2): 275-280.
Citation: ZHENG Jun, LI Rui-jie, JIANG Sen-hui, LUO Feng. Finite element solution for mild-slope equation and its application[J]. Advances in Water Science, 2009, 20(2): 275-280.

Finite element solution for mild-slope equation and its application

More Information
  • Received Date: December 11, 2007
  • The finite element method,which suits complex domain shapes well andfits the irregular boundary conveniently,is used to salve the elliptic mild slope equation in the model of this paper.And the modified conjugate-gradient method,which solves the linear system of equations efficiently and requires less memory,is used to solve the linear system of the mild slope equation.This model is tested with the laboratory measurements of Rizhao Port waters.The results show that the model could be used in relative large region and get ideal results.
  • [1]
    BERKHOFF J C W.Computation of combined refraction-diffraction[C]//Proc 13th International Coastal Engineering Conference.Vancouver:ASCE,1972,1:741-790.
    [2]
    李瑞杰,王爱群,王厚杰.波浪在浅水传播中的弱非线性效应[J].海洋工程,2000,18(3):30-38.(LI Rui-jie,WANG Ai-qun,WANG Hou-jie.Weakly non-linear effect of wave propagation in shallow water[J].Ocean Engineering,2000,18(3):30-33.(in Chinese))
    [3]
    李瑞杰,魏守林,于风香.考虑振幅弥散影响的波浪变形模型[J].水动力学研究与进展,2002,17(6):676-683.(LI Rui-jie,WEI Shou-lin,YU Feng-xiang.Wave propagation model with the consideration of amplitude dispersion[J].Journal of Hydrodynamics,2002,17(6):676-683.(in Chinese))
    [4]
    赵明,滕斌.椭圆型缓坡方程的一个有效的有限元解[J].海洋学报,2002,24(1):117-123.(ZHAO Ming,TENG Bin.An efficient finite element solver for the elliptic mild-slope equation[J].Acta Oceanologica Sinica,2002,24(1):117-123.(in Chinese))
    [5]
    柳淑学,孙冰.考虑边界波浪方向的缓坡方程自适应求解模型[J].海洋工程,2007,25(1):35-42.(LIU Shu-xue,SUN Bing.Self-adaptive FEM numerical modeling of mild slope equation with total absorption[J].The Ocean Engineering,2007,25(1):35-42.(in Chinese))
    [6]
    BELLOTTI G,GIAN M B,PAOLO D G.Internal generation of waves in 2D fully elliptic mild-slope equation FEM models[J].Coastal Engineering,2003,49(1-2):71-81.
    [7]
    KHELLAF M C,BOUHADEF M.Modified mild slope equation and open boundary conditions[J].Ocean Engineering,2004,31(13):1713-1723.
    [8]
    PANCHANG V G,PEARCE B R,GE W,et al.Solution to the mild-slope wave problem by iteration[J].Applied Ocean Research,1991,13(4):187-199.
    [9]
    LI B.A generalized conjugate gradient model for the mild slope equation[J].Coastal Engineering,1994,23(3-4):215-225.
    [10]
    PANCHANG V G,DEMIRBILEK Z.Simulation of waves in harbors using two-dimensional elliptic equation models[J].Advances in Coastal and Ocean Engg,2001,7:125-162.
    [11]
    DALRYMPLE R A,KIRBY J T,HWANG P A.Wave diffraction due to areas of high energy dissipation[J].Journal of Waterway,Port,Coastal,and Ocean Engineering,1984,110(1):67-79.
    [12]
    ZHAO Liu-zhi,PANCHANG V G,CHEN W,et al.Simulation of wave breaking effects in two-dimensional elliptic harbor wave models[J].Coastal Engineering,2001,42(4):359-373.
    [13]
    张扬,李瑞杰,郑金海.波浪的非线性频散关系[J].水科学进展,2004,15(4):448-453.(ZHANG Yang,LI Rui-jie,ZHENG Jin-hai.Nonlinear dispersion relations of wave[J].Advances in Water Science,2004,15(4):448-453.(in Chinese))
    [14]
    KIRBY J T,DALRYMPLE R A.An approximate model for nonlinear dispersion in monochromatic wave propagation models[J].Coastal Engineering,1986,9(6):545-561.
    [15]
    XU B,PANCHANG V G,DEMIRBILEK Z.Exterior reflections in elliptic harbor wave models[J].Journal of Waterway,Port,Coastal,and Ocean Engineering,1996,122(3):118-126.
    [16]
    李瑞杰,邵宇阳,舒勰俊,等.日照港透空式防波堤可行性研究[R].南京:河海大学物理海洋研究所,2006.(LI Rui-jie,SHAO Yu-yang,SHU Xie-jun,et al.The research of practicability of permeable breakwater in Rizhao harbor[R].Nanjing:Institute of Physical Oceanography of Hohai University,2006.(in Chinese))
    [17]
    孙精石,郑宝友,陈汉宝,等.日照港石臼港区防波堤工程波浪整体物理模型试验研究报告[R].天津:交通部天津水运工程科学研究所,2007.(SUN Jing-shi,ZHEN Bao-you,CHEN han-bao,et al.The report of physical model research of current and wave for breakwater project in harbor region of Shijiu,Rizhao[R].Tianjin:Tianjin Research Institute for Water Transport Engineering,Ministry of Communications,2007.(in Chinese))
    [18]
    赵智帮,刘子琪,孙精石,等.深水航道对波浪传播影响规律的研究[J].中国港湾建设,2001,115(6):9-15.(ZHAO Zhi-bang,LIU Zi-qi,SUN Jing-shi,et al.Influence pattern of deep water channels upon wave propagation[J].China Harbour Engineering,2001,115(6):9-15.(in Chinese))
    [19]
    陈汉宝,刘海源.航道对多方向波传播影响[J].海洋工程,2005,23(4):27-32.(CHEN Han-bao,LIU Hai-yuan.Effects of the channel on multi-direction wave transmission[J].The Ocean Engineering,2005,23(4):27-32.(in Chinese))

Catalog

    Article Metrics

    Article views (82) PDF downloads (585) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return