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비특이화 간접경계적분방정식방법을 이용한 2차원 수치수조 개발 및 적용Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method

Other Titles
Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method
Authors
오승훈조석규정동호성홍근
Issue Date
2018
Publisher
한국해양공학회
Keywords
Numerical wave tank 수치수조; Desingularized indirect boundary integral equation method 비특이화간접경계적분방정식 방법; Fully nonlinear free surface boundary condition 완전 비선형 자유수면 조건; Radial basis function 방사기저함수; Meshless method 무요소 방법
Citation
한국해양공학회지, v.32, no.6, pp 447 - 457
Pages
11
Journal Title
한국해양공학회지
Volume
32
Number
6
Start Page
447
End Page
457
URI
https://www.kriso.re.kr/sciwatch/handle/2021.sw.kriso/487
DOI
10.26748/KSOE.2018.32.6.447
ISSN
1225-0767
2287-6715
Abstract
In this study, a two-dimensional fully nonlinear transient wave numerical tank was developed using a desingularized indirect boundary integral equation method. The desingularized indirect boundary integral equation method is simpler and faster than the conventional boundary element method because special treatment is not required to compute the boundary integral. Numerical simulations were carried out in the time domain using the fourth order Runge-Kutta method. A mixed Eulerian-Lagrangian approach was adapted to reconstruct the free surface at each time step. A numerical damping zone was used to minimize the reflective wave in the downstream region. The interpolating method of a Gaussian radial basis function-type artificial neural network was used to calculate the gradient of the free surface elevation without element connectivity. The desingularized indirect boundary integral equation using an isolated point source and radial basis function has no need for information about the element connectivity and is a meshless method that is numerically more flexible. In order to validate the accuracy of the numerical wave tank based on the desingularized indirect boundary integral equation method and meshless technique, several numerical simulations were carried out. First, a comparison with numerical results according to the type of desingularized source was carried out and confirmed that continuous line sources can be replaced by simply isolated sources. In addition, a propagation simulation of a 2nd-order Stokes wave was carried out and compared with an analytical solution. Finally, simulations of propagating waves in shallow water and propagating waves over a submerged bar were also carried and compared with published data.
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