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Cited 7 time in webofscience Cited 9 time in scopus
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Implicit formulation with the boundary element method for nonlinear radiation of water waves

Authors
Sung, Hong GunChoi, Hang Shoon
Issue Date
5월-2010
Publisher
ELSEVIER SCI LTD
Keywords
Nonlinear radiation problem; Water waves; Oscillating body; BEM with quadratic approximation; Discontinuous element; GMRES; Implicit time-marching; Damping zone; Acceleration potential
Citation
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, v.34, no.5, pp 511 - 529
Pages
19
Journal Title
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Volume
34
Number
5
Start Page
511
End Page
529
URI
https://www.kriso.re.kr/sciwatch/handle/2021.sw.kriso/1133
DOI
10.1016/j.enganabound.2009.11.005
ISSN
0955-7997
1873-197X
Abstract
An accurate and efficient numerical method is presented for the two-dimensional nonlinear radiation problem of water waves. The wave motion that occurs on water due to an oscillating body is described under the assumption of ideal fluid flow. The governing Laplace equation is effectively solved by utilizing the GMRES (Generalized Minimal RESidual) algorithm for the boundary element method (BEM) with quadratic approximation. The intersection or corner singularity in the mixed Dirichlet-Neumann problem is resolved by introducing discontinuous elements. The fully implicit trapezoidal rule is used to update solutions at new time-steps, by considering stability and accuracy. Traveling waves generated by the oscillating body are absorbed downstream by the damping zone technique. To avoid the numerical instability caused by the local gathering of grid points, the re-gridding technique is employed, so that all the grids on the free surface may be re-distributed with an equal distance between them. The nonlinear radiation force is evaluated by means of the acceleration potential. For a mixed Dirichlet-Neumann problem in a computational domain with a wavy top boundary, the present BEM yields numerical solutions for the quadratic rate of convergence with respect to the number of boundary elements. It is also demonstrated that the present time-marching and radiation condition work successfully for nonlinear radiation problems of water waves. The results obtained from this study concur reasonably well with other numerical computations. (C) 2009 Elsevier Ltd. All rights reserved.
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친환경해양개발연구본부 (심해공학연구센터)
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