Integrating patch models for hydrostatics (Q1102696)

To analyze hydrostatic stability and equilibrium conditions of floating bodies certain integral parameters have to be calculated. Normally integration is performed via Simpson's rule using offset points of transverse sections of the body. Thus, accuracy of results depends partly on the shape of the body. In the present paper bicubic Coons patches are introduced to calculate volume, moments of volume, area of intersecting water surface representing a boundary of the submerged part of the body, first and second moments of the area. Integration is performed using the divergence theorem and Gaussian quadrature. Some results of different schemes of integration are presented for a sample ship body.