A Note on the Uniqueness of Wave-Making Resistance when the Double-Body Potential is Used as the Zero-Order Approximation

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Under the linearized free surface condition, wave resistance of a silmple form is calculated analytically. In this computation a double-body potential is used as the zero-order approximation as it is done conventionally. It is then shown that the wave resistance differs in general according to the kind of surface singularity distributions even if the so called line integral is taken into account. The author explains the reason for the indeterminacy of the wave resistance. It comes from the usage of singularity distributions, expressed in terms of the double-body potential, in the potential-expression which was originally derived from Green's formula under the linearized free surface condition. When using Green's formula, it should be noticed that the double-body potential does not satisfy the usual linearized free surface condition but the rigid-wall condition. By taking this fact into account, the indeterminacy of wave resistance is eliminated. It is then concluded that the wave resistance is uniquely determined and independent of the kind of singularity distributions.
社団法人日本船舶海洋工学会の論文
1978-03-15