| Extension of the Frequency-Domain pFFT Method for Wave Structure Interaction in Finite Depth |
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| 作者姓名： | TENG Bin SONG Zhi-jie |
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| 作者单位： | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China,State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;CCCC First Harbor Consultants Co. Ltd, Tianjin 300222, China |
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| 基金项目： | The present work was financially supported by the National Natural Science Foundation of China (Grant Nos. 51490672 and 51379032). |
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| 摘 要： | To analyze wave interaction with a large scale body in the frequency domain, a precorrected Fast Fourier Transform (pFFT) method has been proposed for infinite depth problems with the deep water Green function, as it can form a matrix with Toeplitz and Hankel properties. In this paper, a method is proposed to decompose the finite depth Green function into two terms, which can form matrices with the Toeplitz and a Hankel properties respectively. Then, a pFFT method for finite depth problems is developed. Based on the pFFT method, a numerical code pFFT-HOBEM is developed with the discretization of high order elements. The model is validated, and examinations on the computing efficiency and memory requirement of the new method have also been carried out. It shows that the new method has the same advantages as that for infinite depth.
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| 关 键 词： | pFFT finite depth free-surface Green function HOBEM |
| 收稿时间： | 2016/6/13 0:00:00 |
| 修稿时间： | 2016/12/6 0:00:00 |
Extension of the Frequency-Domain pFFT Method for Wave Structure Interaction in Finite Depth |
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| TENG Bin,SONG Zhi-jie.Extension of the Frequency-Domain pFFT Method for Wave Structure Interaction in Finite Depth[J].Ocean Engineering,2017,31(3):322-329. |
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| Authors: | TENG Bin and SONG Zhi-jie |
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| Institution: | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China and State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;CCCC First Harbor Consultants Co. Ltd, Tianjin 300222, China |
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| Abstract: | To analyze wave interaction with a large scale body in the frequency domain, a precorrected Fast Fourier Transform (pFFT) method has been proposed for infinite depth problems with the deep water Green function, as it can form a matrix with Toeplitz and Hankel properties. In this paper, a method is proposed to decompose the finite depth Green function into two terms, which can form matrices with the Toeplitz and a Hankel properties respectively. Then, a pFFT method for finite depth problems is developed. Based on the pFFT method, a numerical code pFFT-HOBEM is developed with the discretization of high order elements. The model is validated, and examinations on the computing efficiency and memory requirement of the new method have also been carried out. It shows that the new method has the same advantages as that for infinite depth. |
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| Keywords: | pFFT finite depth free-surface Green function HOBEM |
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