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 i...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 Tocplitz 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.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.51490672 and 51379032)
文摘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 Tocplitz 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.
