EVALUATION OF WAVE-RESISTANCE COEFFICIENTS FOR POLYNOMIAL CENTERPLANE SINGULARITY DISTRIBUTIONS.
MICHIGAN UNIV ANN ARBOR DEPT OF NAVAL ARCHITECTURE AND MARINE ENGINEERING
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Wave-resistance coefficients for thin ships are obtained from the Michell integral by the application of the Birkoff-Kotik transformation. Mathematical expressions derived for the case of polynomial centerplane singularity distributions are shown to be of rather simple form and definable in terms of integral functions possessing nonsingular integrands. A computer program for the calculation of wave-resistance coefficients has been prepared and computed results for a simple mathematical hull form are given. These are similar to but differ noticeably from results obtained by means of asymptotic expansions. It is expected that the values of the wave-resistance coefficients reported here are closer to being exact because no approximations are made in the derivation of expressions from which these are calculated beyond the approximations made in the linear wave-resistance theory. Furthermore, all functions involved in the computation are well behaved. Author
- Numerical Mathematics
- Fluid Mechanics