A timedomain higherorder boundary element method

Authors: Guanghua He Masashi Kashiwagi

Publish Date: 2013/10/24

Volume: 19, Issue: 2, Pages: 228-244

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Abstract

A timedomain higherorder boundary element method for seakeeping analyses in the framework of linear potential theory is newly developed Ship waves generated by two modified Wigley models advancing at a constant forward speed in calm water or incident waves and the resultant radiation and diffraction forces are computed to validate this code A rectangular computational domain moving with the same forward speed as the ship is introduced in which an artificial damping beach is installed at an outer portion of the free surface except the downstream side for satisfying the radiation condition The velocity potential on the ship hull and the normal velocity on the free surface are calculated directly by solving the boundary integral equation An explicit timemarching scheme is employed for updating both kinematic and dynamic freesurface boundary conditions with an embedding of a secondorder upwind difference scheme for the derivative in the xdirection to stabilize the calculation Extensive results including the exciting forces added mass and damping coefficients wave profiles and wave patterns for blunt Wigley and slender Wigley hulls with forward speed are presented to validate the efficiency of the proposed 3D timedomain approach The corresponding physical tests of the radiation and diffraction problems in a towing tank are also carried out Computed numerical results show good agreement with the corresponding experimental data and other numerical solutions

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