Abstract
A hydrodynamic analysis is performed of a special toroidal body which is known to have a nontrivial solution of the homogeneous linearized free-surface boundary-value problem with oscillatory time- dependence. This solution corresponds physically to unbounded resonant motion of the fluid in the 'moon pool' at the center of the toroid. The added mass, damping, and elevation of the free surface in the moon pool are computed for a range of wavenumbers, with singular results in the resonant regime.
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Newman, J.N. Radiation and Diffraction Analysis of the McIver Toroid. Journal of Engineering Mathematics 35, 135–147 (1999). https://doi.org/10.1023/A:1004391615875
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DOI: https://doi.org/10.1023/A:1004391615875