| Fast Evaluation of Time-Domain Green Function for Finite Water Depth |
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| 作者姓名： | 滕斌 韩凌 勾莹 |
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| 作者单位： | The State Key Laboratory of Coastal and Offshore Engineering，The State Key Laboratory of Coastal and Offshore Engineering，The State Key Laboratory of Coastal and Offshore Engineering Dalian University of Technology，Dalian 116024，China，Dalian University of Technology，Dalian 116024，China，Dalian University of Technology，Dalian 116024，China |
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| 基金项目： | ThepresentworkwasfinanciallysupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .5 0 0 2 5 92 4 ) |
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| 摘 要： | 1 .IntroductionShipsrestrainedbycablesandfendersinfrontofdocksundergolargeamplitudenon harmonicmotionsinwaves.Forthiskindofnon harmonicproblem ,atime domainmethodmustbeapplied .LinandYue ( 1 990 )usedanintegralequationwiththetime domainGreenfunctionforinfinitewaterdepthtocomputetheshipmotionindeepwater.Butforthepresentproblem ,theintegralequationwiththetime domainGreenfunctionforfinitewaterdepthmustbeapplied .TheGreenfunctionisafieldwithacertainboundaryandinitialconditionsproducedbyasourceat…
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Fast Evaluation of Time-Domain Green Function for Finite Water Depth |
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| TENG Bin,HAN Ling and GOU Ying The State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian ,China.Fast Evaluation of Time-Domain Green Function for Finite Water Depth[J].China Ocean Engineering,2003,17(3). |
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| Authors: | TENG Bin HAN Ling and GOU Ying The State Key Laboratory of Coastal and Offshore Engineering Dalian University of Technology Dalian China |
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| Institution: | TENG Bin1,HAN Ling and GOU Ying The State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China |
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| Abstract: | For computation of large amplitude motions of ships fastened to a dock, a fast evaluation scheme is implemented for computation of the time-domain Green function for finite water depth. Based on accurate evaluation of the Green function directly, a fast approximation method for the Green function is developed by use of Chebyshev polynomials. Examinations are carried out of the accuracy of the Green function and its derivatives from the scheme. It is shown that when an appropriate number of polynomial terms are used, very accurate approximation can be obtained. |
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| Keywords: | Green function time-domain finite water depth |
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