Theory and Algorithms of Two-Dimensional Hydrodynamic Potential Coefficients

摘要

This report describes the theoretical backgrounds and the algorithns for thecalculation of the two-dimensional hydrodynamic potential coefficients of ship-like cross sections in deep water. The close-fit multi-parameter conformal mapping method, used to translate the cross sections of the underwater part of a ship to the unit circle, is given. Two special cases of conformal mapping, a Lewis transformation with two parameters and an Extended-Lewis transformation with three parameters, have been described too. The derivations of the two-dimensional hydrodynamic potential coefficients for all six modes of motions are given here in detail for multi-parameter described cross sections.