Du, S.X., Hudson, D.A., Price, W.G. and Temarel, P.
An improved matching method to solve the diffraction—radiation problem of a ship moving in waves
Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 218, (3), . (doi:10.1243/1475090041737930).
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On the underlying assumption that the disturbance of the far-field velocity potential caused by the motion of a ship is small and may be linearized, an improved matching method is developed. Two arrays of fundamental singularities are placed inside the ship hull, which satisfy the linear free surface condition outside the truncated fluid domain and the far-field radiation condition. The choice of fundamental singularity depends on the problem under investigation (e.g.pulsating, translating or translating and pulsating source). The unknown strength of these singularities and the near-field velocity potential are determined in a coupled manner. It is shown from numerical examples that the present method provides a more efficient and accurate representation of waves in the far field than conventional matching methods.
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