Extension of the frequency-domain pFFT method for wave structure interaction in finite depth
| Autor: | Bin Teng, Zhi-jie Song |
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| Rok vydání: | 2017 |
| Předmět: |
Discretization
Scale (ratio) Renewable Energy Sustainability and the Environment Mechanical Engineering Fast Fourier transform Mathematical analysis 020101 civil engineering Ocean Engineering 02 engineering and technology Extension (predicate logic) Oceanography 01 natural sciences Toeplitz matrix 010305 fluids & plasmas 0201 civil engineering Matrix (mathematics) Frequency domain 0103 physical sciences Code (cryptography) Mathematics |
| Zdroj: | China Ocean Engineering. 31:322-329 |
| ISSN: | 2191-8945 0890-5487 |
| DOI: | 10.1007/s13344-017-0038-x |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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