Comparative evaluation of PML technique for hydrodynamic impact loading on spar-type floating platform
The structural dynamic stability of spar-type floating platform for offshore wind turbine subject to hydrodynamic impact is numerically investigated by the dynamic response analysis. The unbounded flow domain of sea water is truncated to a bounded finite domain and the reflection of out-going hydrod...
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Published in | Ocean engineering Vol. 85; pp. 80 - 92 |
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Format | Journal Article |
Language | English |
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15.07.2014
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ISSN | 0029-8018 1873-5258 |
DOI | 10.1016/j.oceaneng.2014.04.026 |
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Abstract | The structural dynamic stability of spar-type floating platform for offshore wind turbine subject to hydrodynamic impact is numerically investigated by the dynamic response analysis. The unbounded flow domain of sea water is truncated to a bounded finite domain and the reflection of out-going hydrodynamic impact wave at the artificial boundary of truncated domain is minimized by the perfectly matched layer (PML) technique. The generalized transport equations governing the non-viscous compressible water flow is split into three PML equations by introducing the direction-wise absorption coefficients and the state variables. The coupled fluid–structure interaction problem is approximated by the iterative Eulerian FVM–Lagrangian FEM with the Euler–Lagrange coupling scheme. The impact-induced hydrodynamic pressure is calculated by the JWL equation of state and the mixture of un-reacted explosive and reaction products is defined by the reacted volume fraction. It is confirmed from the numerical experiments that the wave reflection phenomenon at the artificial boundary is substantially reduced when compared with the case without using the PML technique. And, the remarkable amplitude difference and the fluctuation with several subsequent peaks in the time responses of rigid body motion and effective stress of the floating platform are successfully suppressed when PML layers are used.
•The PML technique is comparatively evaluated for the hydrodynamic loading on spar-type floating platform.•Impact-induced hydrodynamic pressure between with and without the PML technique is compared.•The reflection of out-going waves at truncated boundary is substantially absorbed.•Time histories of six rigid body motions of floating platform are also compared. |
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AbstractList | The structural dynamic stability of spar-type floating platform for offshore wind turbine subject to hydrodynamic impact is numerically investigated by the dynamic response analysis. The unbounded flow domain of sea water is truncated to a bounded finite domain and the reflection of out-going hydrodynamic impact wave at the artificial boundary of truncated domain is minimized by the perfectly matched layer (PML) technique. The generalized transport equations governing the non-viscous compressible water flow is split into three PML equations by introducing the direction-wise absorption coefficients and the state variables. The coupled fluid-structure interaction problem is approximated by the iterative Eulerian FVM-Lagrangian FEM with the Euler-Lagrange coupling scheme. The impact-induced hydrodynamic pressure is calculated by the JWL equation of state and the mixture of un-reacted explosive and reaction products is defined by the reacted volume fraction. It is confirmed from the numerical experiments that the wave reflection phenomenon at the artificial boundary is substantially reduced when compared with the case without using the PML technique. And, the remarkable amplitude difference and the fluctuation with several subsequent peaks in the time responses of rigid body motion and effective stress of the floating platform are successfully suppressed when PML layers are used. The structural dynamic stability of spar-type floating platform for offshore wind turbine subject to hydrodynamic impact is numerically investigated by the dynamic response analysis. The unbounded flow domain of sea water is truncated to a bounded finite domain and the reflection of out-going hydrodynamic impact wave at the artificial boundary of truncated domain is minimized by the perfectly matched layer (PML) technique. The generalized transport equations governing the non-viscous compressible water flow is split into three PML equations by introducing the direction-wise absorption coefficients and the state variables. The coupled fluid–structure interaction problem is approximated by the iterative Eulerian FVM–Lagrangian FEM with the Euler–Lagrange coupling scheme. The impact-induced hydrodynamic pressure is calculated by the JWL equation of state and the mixture of un-reacted explosive and reaction products is defined by the reacted volume fraction. It is confirmed from the numerical experiments that the wave reflection phenomenon at the artificial boundary is substantially reduced when compared with the case without using the PML technique. And, the remarkable amplitude difference and the fluctuation with several subsequent peaks in the time responses of rigid body motion and effective stress of the floating platform are successfully suppressed when PML layers are used. •The PML technique is comparatively evaluated for the hydrodynamic loading on spar-type floating platform.•Impact-induced hydrodynamic pressure between with and without the PML technique is compared.•The reflection of out-going waves at truncated boundary is substantially absorbed.•Time histories of six rigid body motions of floating platform are also compared. |
Author | Jeong, W.B. Kim, M.S. Jeon, S.H. Cho, J.R. |
Author_xml | – sequence: 1 givenname: M.S. surname: Kim fullname: Kim, M.S. organization: School of Mechanical Engineering, Pusan National University, Busan 609-735, South Korea – sequence: 2 givenname: S.H. surname: Jeon fullname: Jeon, S.H. organization: School of Mechanical Engineering, Pusan National University, Busan 609-735, South Korea – sequence: 3 givenname: J.R. surname: Cho fullname: Cho, J.R. email: jrcho@pusan.ac.kr organization: School of Mechanical Engineering, Pusan National University, Busan 609-735, South Korea – sequence: 4 givenname: W.B. surname: Jeong fullname: Jeong, W.B. organization: School of Mechanical Engineering, Pusan National University, Busan 609-735, South Korea |
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Cites_doi | 10.2514/2.167 10.1063/1.4737778 10.2514/3.44330 10.1073/pnas.74.5.1765 10.1016/0021-9991(91)90135-8 10.1016/0045-7930(83)90006-3 10.12989/sem.2012.43.5.679 10.1063/1.862940 10.1006/jcph.1994.1159 10.1002/nme.2346 10.1121/1.1458590 10.1016/0021-9991(87)90041-6 10.1115/PVP2006-ICPVT-11-93107 10.1016/S1270-9638(00)00111-5 10.1006/jcph.1996.0181 10.1002/fld.434 10.1016/j.jcp.2008.01.010 10.1109/75.311494 10.1090/S0025-5718-1987-0890254-1 10.1016/j.oceaneng.2011.12.009 10.1115/1.2871129 10.1002/cpa.3160330603 10.1006/jcph.1996.0244 10.1016/j.oceaneng.2013.07.017 |
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Keywords | Non-reflective boundary treatment Offshore wind turbine Hydrodynamic impact Structural stability Floating platform Perfectly matched layer (PML) Dynamic response Hydrodynamic force Wind generator Fluid structure interaction Modeling Perfectly matched layer Numerical simulation Offshore structure Spar platform |
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SubjectTerms | Applied sciences Buildings. Public works Computational fluid dynamics Exact sciences and technology Floating platform Floating platforms Fluid flow Hydraulic constructions Hydrodynamic impact Hydrodynamics Joining Mathematical analysis Mathematical models Non-reflective boundary treatment Offshore structure (platforms, tanks, etc.) Offshore wind turbine Perfectly matched layer (PML) Rigid-body dynamics Structural stability |
Title | Comparative evaluation of PML technique for hydrodynamic impact loading on spar-type floating platform |
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