Adaptive boundary-type finite element method for wave diffraction-refraction in harbors

Abstract This paper presents an adaptive boundary-type finite element method for wave diffraction-refraction in harbors. The present method consists of three parts; the automatic mesh generation method, the boundary type finite element method and the adaptive remeshing method. The present model is based on the mild-slope equation and an arbitrary reflection condition is introduced. The computed results are compared with the existing analytical and experimental results. This method is shown to be a useful and powerful tool for the analysis of wave diffractionrefraction in harbors.

[1]  F. Mattioli.  Wave-induced oscillations in harbours of variable depth , 1978 .

[2]  C. Mei.  The applied dynamics of ocean surface waves , 1983 .

[3]  W. Thacker,et al.  A method for automating the construction of irregular computational grids for storm surge forecast models , 1980 .

[4]  Kazuo Kashiyama,et al.  A boundary‐type finite element model for water surface wave problems , 1988 .

[5]  H. S. Chen,et al.  Effects of bottom friction and boundary absorption on water wave scattering , 1986 .

[6]  Noboru Kikuchi,et al.  Adaptive grid-design methods for finite delement analysis , 1986 .

[7]  Oc Zeinkiewicz,et al.  HARBOUR OSCILLATION: A NUMERICAL TREATMENT FOR UNDAMPED NATURAL MODES. , 1969 .

[8]  J. Berkhoff,et al.  Computation of Combined Refraction — Diffraction , 1972 .

[9]  James R. Houston,et al.  Combined refraction and diffraction of short waves using the finite element method , 1981 .

[10]  J. Lee,et al.  Wave-induced oscillations in harbours of arbitrary geometry , 1971, Journal of Fluid Mechanics.

[11]  M. B. Abbott,et al.  ON THE NUMERICAL MODELLING OF SHORT WAVES IN SHALLOW WATER , 1978 .

[12]  Ove Skovgaard,et al.  A scheme for automatic generation of boundary-fitted depth- and depth-gradient- dependent grids in arbitrary two-dimensional regions , 1990 .

[13]  Ove Skovgaard,et al.  The effect of using non‐orthogonal boundary‐fitted grids for solving the shallow water equations , 1990 .

[14]  Kazuo Kashiyama,et al.  Automatic mesh generation method for shallow water flow analysis , 1992 .

[15]  Kazuo Kashiyama,et al.  Boundary‐type finite element method for wave propagation analysis , 1988 .