Second-Order Wave Diffraction by an Axisymmetric Body

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概要

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• The main difficulty in calculation of third order force is its forcing on the free surface which includes second order potential and its spacial derivatives. Second order potential also obeys an inhomogeneous free-surface boundary condition, and its calculation needs to do an integration on the whole free surface. For third order calculation, its forcing term is needed on a big area on the free surface, and individual calculation of the second order potential at each point in the area is evidently not economic. This report provides a detailed analysis for the second order diffraction of monochromatic waves by an axisymmetric body in finite water. For wave diffraction from a body of revolution with vertical axis, the report derives a new integral equation, which can cancel the leading singularity in the derivative of ring Green's functions automatically. For the second order potential, the report proposes a forward prediction method to calculate the integration on the free surface. By this method we only need to compute the infinite integration on the free surface directly for a few of points; then an one-step quadrature is applied successively outward from the body for potentials at other points. To get accurate results, different approaches are also used to deal with singularities in the ring Green's functions in the integration both on the body surface and free surface. The method has been implemented for body of revolution with vertical axes, but the theory is also available for arbitrary bodies. Numerical examination is also made to validate the numerical code by comparing second order force and moment on uniform and truncated cylinders and second order diffraction potential on the free surface with some published results. The comparison shows that the present results have a good agreement with those results. At last, the method is used to compute the second order wave elevation around uniform and truncated cylinders.

• 独立行政法人 海上技術安全研究所の論文
• 1997-03-12

著者

• 加藤 俊司

  Ocean Engineering Division

• タン ビン

  Dalian University Of Technology:ocean Engineering Division

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