Use of Clement’s ODEs for the speedup of computation of the Green function and its derivatives for floating of submerged bodies in deep water
ASME 2018 37th International Conference on Ocean, Offshore and Arctic EngineeringVolume 7A: Ocean EngineeringConference Sponsors: Ocean, Offshore and Arctic Engineering DivisionISBN: 978-0-7918-5126-5 International audience A new acceleration technique for the computation of first order hydrodynamic...
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Online Access: | https://hal.science/hal-01986164 https://hal.science/hal-01986164/document https://hal.science/hal-01986164/file/xie2018.pdf https://doi.org/10.1115/OMAE2018-78295 |
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ftunivnantes:oai:HAL:hal-01986164v1 2023-05-15T14:57:44+02:00 Use of Clement’s ODEs for the speedup of computation of the Green function and its derivatives for floating of submerged bodies in deep water Xie, Chunmei Babarit, Aurélien Rongère, François Clément, Alain H. Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique (LHEEA) École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS) Madrid, Spain 2018-06-17 https://hal.science/hal-01986164 https://hal.science/hal-01986164/document https://hal.science/hal-01986164/file/xie2018.pdf https://doi.org/10.1115/OMAE2018-78295 en eng HAL CCSD info:eu-repo/semantics/altIdentifier/doi/10.1115/OMAE2018-78295 hal-01986164 https://hal.science/hal-01986164 https://hal.science/hal-01986164/document https://hal.science/hal-01986164/file/xie2018.pdf doi:10.1115/OMAE2018-78295 info:eu-repo/semantics/OpenAccess 37th ASME International Conference on Ocean, Offshore and Artic Engineering (OMAE) https://hal.science/hal-01986164 37th ASME International Conference on Ocean, Offshore and Artic Engineering (OMAE), Jun 2018, Madrid, Spain. ⟨10.1115/OMAE2018-78295⟩ [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] [SPI.NRJ]Engineering Sciences [physics]/Electric power info:eu-repo/semantics/conferenceObject Conference papers 2018 ftunivnantes https://doi.org/10.1115/OMAE2018-78295 2023-03-15T15:52:16Z ASME 2018 37th International Conference on Ocean, Offshore and Arctic EngineeringVolume 7A: Ocean EngineeringConference Sponsors: Ocean, Offshore and Arctic Engineering DivisionISBN: 978-0-7918-5126-5 International audience A new acceleration technique for the computation of first order hydrodynamic coefficients for floating bodies in frequency domain and in deep water is proposed. It is based on the classical boundary element method (BEM) which requires solving a boundary integral equation for distributions of sources and/or dipoles and evaluating integrals of Kelvin’s Green function and its derivatives over panels. The Kelvin’s Green function includes two Rankine sources and a wave term. In present study, for the two Rankine sources, analytical integrations of strongly singular kernels are adopted for the linear density distributions. It is shown that these analytical integrations are more accurate and faster than numerical integrations. The wave term is obtained by solving Clément’s ordinary differential equations (ODEs) [1] and an adaptive numerical quadrature is performed for integrations over the panels. It is shown here that the computational time of the wave term by solving the ODEs is greatly reduced compared to the classical integration method [7]. Conference Object Arctic Université de Nantes: HAL-UNIV-NANTES Arctic Volume 7A: Ocean Engineering |
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Université de Nantes: HAL-UNIV-NANTES |
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ftunivnantes |
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English |
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[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] [SPI.NRJ]Engineering Sciences [physics]/Electric power |
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[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] [SPI.NRJ]Engineering Sciences [physics]/Electric power Xie, Chunmei Babarit, Aurélien Rongère, François Clément, Alain H. Use of Clement’s ODEs for the speedup of computation of the Green function and its derivatives for floating of submerged bodies in deep water |
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[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] [SPI.NRJ]Engineering Sciences [physics]/Electric power |
description |
ASME 2018 37th International Conference on Ocean, Offshore and Arctic EngineeringVolume 7A: Ocean EngineeringConference Sponsors: Ocean, Offshore and Arctic Engineering DivisionISBN: 978-0-7918-5126-5 International audience A new acceleration technique for the computation of first order hydrodynamic coefficients for floating bodies in frequency domain and in deep water is proposed. It is based on the classical boundary element method (BEM) which requires solving a boundary integral equation for distributions of sources and/or dipoles and evaluating integrals of Kelvin’s Green function and its derivatives over panels. The Kelvin’s Green function includes two Rankine sources and a wave term. In present study, for the two Rankine sources, analytical integrations of strongly singular kernels are adopted for the linear density distributions. It is shown that these analytical integrations are more accurate and faster than numerical integrations. The wave term is obtained by solving Clément’s ordinary differential equations (ODEs) [1] and an adaptive numerical quadrature is performed for integrations over the panels. It is shown here that the computational time of the wave term by solving the ODEs is greatly reduced compared to the classical integration method [7]. |
author2 |
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique (LHEEA) École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS) |
format |
Conference Object |
author |
Xie, Chunmei Babarit, Aurélien Rongère, François Clément, Alain H. |
author_facet |
Xie, Chunmei Babarit, Aurélien Rongère, François Clément, Alain H. |
author_sort |
Xie, Chunmei |
title |
Use of Clement’s ODEs for the speedup of computation of the Green function and its derivatives for floating of submerged bodies in deep water |
title_short |
Use of Clement’s ODEs for the speedup of computation of the Green function and its derivatives for floating of submerged bodies in deep water |
title_full |
Use of Clement’s ODEs for the speedup of computation of the Green function and its derivatives for floating of submerged bodies in deep water |
title_fullStr |
Use of Clement’s ODEs for the speedup of computation of the Green function and its derivatives for floating of submerged bodies in deep water |
title_full_unstemmed |
Use of Clement’s ODEs for the speedup of computation of the Green function and its derivatives for floating of submerged bodies in deep water |
title_sort |
use of clement’s odes for the speedup of computation of the green function and its derivatives for floating of submerged bodies in deep water |
publisher |
HAL CCSD |
publishDate |
2018 |
url |
https://hal.science/hal-01986164 https://hal.science/hal-01986164/document https://hal.science/hal-01986164/file/xie2018.pdf https://doi.org/10.1115/OMAE2018-78295 |
op_coverage |
Madrid, Spain |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
37th ASME International Conference on Ocean, Offshore and Artic Engineering (OMAE) https://hal.science/hal-01986164 37th ASME International Conference on Ocean, Offshore and Artic Engineering (OMAE), Jun 2018, Madrid, Spain. ⟨10.1115/OMAE2018-78295⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1115/OMAE2018-78295 hal-01986164 https://hal.science/hal-01986164 https://hal.science/hal-01986164/document https://hal.science/hal-01986164/file/xie2018.pdf doi:10.1115/OMAE2018-78295 |
op_rights |
info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.1115/OMAE2018-78295 |
container_title |
Volume 7A: Ocean Engineering |
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1766329855276744704 |