Comparative study on ship motions in waves based on two time domain boundary element methods
This paper presents a comparative study on the motions of a ship advancing in waves using two different three-dimensional time domain boundary element methods: a Transient Free surface Green's Function (TFGF) method and a Rankine Higher Order Boundary Element Method (HOBEM). Three models based...
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Published in | Engineering analysis with boundary elements Vol. 111; pp. 9 - 21 |
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Format | Journal Article |
Language | English |
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01.02.2020
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Abstract | This paper presents a comparative study on the motions of a ship advancing in waves using two different three-dimensional time domain boundary element methods: a Transient Free surface Green's Function (TFGF) method and a Rankine Higher Order Boundary Element Method (HOBEM). Three models based on the HOBEM are also considered to identify the dominant factors affecting the accuracy of solutions: (i) the N–K model using Neumann–Kelvin (N–K) linearization, (ii) the N–K+DB model using the N–K linearization for the free surface boundary conditions and the double-body (DB) m-terms in the body boundary condition, (iii) the Rankine HOBEM based on DB linearization. The Wigley I and the Series 60 (CB = =0.7) are taken as study objects. The comparisons show that the Rankine HOBEM based on DB linearization is generally more accurate than the Rankine HOBEM with other two models and the TFGF method. The hydrodynamic coefficients are mainly affected by the m-terms, especially at low frequencies; while the influences of different linearizations of the free surface boundary conditions are negligible. Both the m-terms and the leading terms of steady velocity potential reserved in the free surface boundary conditions are important for motion responses, while the influence of the former is stronger than the latter. |
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AbstractList | This paper presents a comparative study on the motions of a ship advancing in waves using two different three-dimensional time domain boundary element methods: a Transient Free surface Green's Function (TFGF) method and a Rankine Higher Order Boundary Element Method (HOBEM). Three models based on the HOBEM are also considered to identify the dominant factors affecting the accuracy of solutions: (i) the N–K model using Neumann–Kelvin (N–K) linearization, (ii) the N–K+DB model using the N–K linearization for the free surface boundary conditions and the double-body (DB) m-terms in the body boundary condition, (iii) the Rankine HOBEM based on DB linearization. The Wigley I and the Series 60 (CB = =0.7) are taken as study objects. The comparisons show that the Rankine HOBEM based on DB linearization is generally more accurate than the Rankine HOBEM with other two models and the TFGF method. The hydrodynamic coefficients are mainly affected by the m-terms, especially at low frequencies; while the influences of different linearizations of the free surface boundary conditions are negligible. Both the m-terms and the leading terms of steady velocity potential reserved in the free surface boundary conditions are important for motion responses, while the influence of the former is stronger than the latter. |
Author | Mei, Tian-Long Zou, Zao-Jian Lataire, Evert Candries, Maxim Zhang, Teng |
Author_xml | – sequence: 1 givenname: Tian-Long surname: Mei fullname: Mei, Tian-Long organization: School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China – sequence: 2 givenname: Teng surname: Zhang fullname: Zhang, Teng organization: Naval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian 116026, China – sequence: 3 givenname: Maxim surname: Candries fullname: Candries, Maxim organization: Maritime Technology Division, Ghent University, Belgium – sequence: 4 givenname: Evert surname: Lataire fullname: Lataire, Evert organization: Maritime Technology Division, Ghent University, Belgium – sequence: 5 givenname: Zao-Jian surname: Zou fullname: Zou, Zao-Jian email: zjzou@sjtu.edu.cn organization: School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China |
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CitedBy_id | crossref_primary_10_1016_j_chaos_2021_111497 crossref_primary_10_1016_j_marstruc_2021_103129 crossref_primary_10_1016_j_oceaneng_2021_110074 crossref_primary_10_1016_j_oceaneng_2022_111694 crossref_primary_10_1007_s13344_024_0007_0 crossref_primary_10_1016_j_enganabound_2021_04_007 crossref_primary_10_1016_j_oceaneng_2021_110107 crossref_primary_10_3390_w12030918 crossref_primary_10_1115_1_4048156 |
Cites_doi | 10.5957/jsr.1964.8.4.22 10.1016/j.oceaneng.2016.06.001 10.1016/j.oceaneng.2015.06.048 10.5957/jsr.1987.31.3.164 10.3233/ISP-1960-76601 10.1115/1.4026847 10.1016/j.oceaneng.2017.12.053 10.1016/S1001-6058(16)60732-1 10.2478/IJNAOE-2013-0044 10.1016/j.apor.2010.10.003 10.1016/j.apor.2010.05.004 10.5957/jsr.1998.42.2.99 10.1016/j.oceaneng.2006.10.016 10.1016/S1001-6058(15)60526-1 10.1007/s00773-012-0185-y |
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Keywords | Ship hydrodynamics Time domain Transient free surface Green's function Rankine higher-order boundary element method Ship motion in waves |
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Title | Comparative study on ship motions in waves based on two time domain boundary element methods |
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