Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method
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 sp...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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The Korean Society of Ocean Engineers
2018-12-01
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| Series: | 한국해양공학회지 |
| Subjects: | |
| Online Access: | https://doi.org/10.26748/KSOE.2018.32.6.447 |
| _version_ | 1818156417885929472 |
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| author | Seunghoon Oh Seok-kyu Cho Dongho Jung Hong Gun Sung |
| author_facet | Seunghoon Oh Seok-kyu Cho Dongho Jung Hong Gun Sung |
| author_sort | Seunghoon Oh |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T14:57:58Z |
| format | Article |
| id | doaj.art-0f0ddd2fd86c4653a04f8f4dd7239f02 |
| institution | Directory Open Access Journal |
| issn | 1225-0767 2287-6715 |
| language | English |
| last_indexed | 2024-12-11T14:57:58Z |
| publishDate | 2018-12-01 |
| publisher | The Korean Society of Ocean Engineers |
| record_format | Article |
| series | 한국해양공학회지 |
| spelling | doaj.art-0f0ddd2fd86c4653a04f8f4dd7239f022022-12-22T01:01:16ZengThe Korean Society of Ocean Engineers한국해양공학회지1225-07672287-67152018-12-0132644745710.26748/KSOE.2018.32.6.447Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation MethodSeunghoon Oh0Seok-kyu Cho1Dongho Jung2Hong Gun Sung3Korea Research Institute of Ships and Ocean EngineeringKorea Research Institute of Ships and Ocean EngineeringKorea Research Institute of Ships and Ocean EngineeringKorea Research Institute of Ships and Ocean EngineeringIn 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.https://doi.org/10.26748/KSOE.2018.32.6.447 Numerical wave tankDesingularized indirect boundary integral equation methodFully nonlinear free surface boundary conditionRadial basis functionMeshless method |
| spellingShingle | Seunghoon Oh Seok-kyu Cho Dongho Jung Hong Gun Sung Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method 한국해양공학회지 Numerical wave tank Desingularized indirect boundary integral equation method Fully nonlinear free surface boundary condition Radial basis function Meshless method |
| title | Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method |
| title_full | Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method |
| title_fullStr | Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method |
| title_full_unstemmed | Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method |
| title_short | Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method |
| title_sort | development and application of two dimensional numerical tank using desingularized indirect boundary integral equation method |
| topic | Numerical wave tank Desingularized indirect boundary integral equation method Fully nonlinear free surface boundary condition Radial basis function Meshless method |
| url | https://doi.org/10.26748/KSOE.2018.32.6.447 |
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