Study on characteristics of 3-D translating-pulsating source green function of deep-water havelock form and its fast integration method |
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| Authors: | Yong Xu Wen-cai Dong |
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| Institution: | XU Yong 1 and DONG Wen-cai Department of Naval Architecture and Ocean Engineering,Naval University of Engineering,Wuhan 430033,China |
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| Abstract: | The singularities, oscillatory performances and the contributing factors to the 3-D translating-pulsating source Green function of deep-water Havelock form which consists of a local disturbance part and a far-field wave-like part, are analyzed systematically. Relative numerical integral methods about the two parts are presented in this paper. An improved method based on LOBATTO rule is used to eliminate singularities caused respectively by infinite discontinuity and jump discontinuous node from the local di... |
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| Keywords: | translating-pulsating source Green’s function singularity highly oscillatory function integration method |
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