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NUMERICAL APPRAISAL OF THE NEW SLENDER SHIP FORMULATION IN STEADY MOTION

Hajime Maruo, Weili Song

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Abstract

A new formulation for the fluid motion around a slender ship is developed, on the basis of an asymptotic expression of the Kelvin-source around its track. The boundary value problem is expressed by an integral equation which is much more simplified than the solution of the Neumann-Kelvin approximation. In order to examine the validity of this theory, numerical computations are carried out with respect to the pressure distribution, wave pattern and wave resistance of several types of hull forms, i.e. the Wigley hull, a sailing yacht hull, and a Series 60 (CB - 0.600 hull. The results are compared with experimental data.

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What this paper is about

A new formulation for the fluid motion around a slender ship is developed, on the basis of an asymptotic expression of the Kelvin-source around its track. The boundary value problem is expressed by an integral equation which is much more simplified than the solution of the Neumann-Kelvin approximation. In order to examine the validity of this theory, numerical computations are carried out with respect to the pressure distribution, wave pattern and wave resistance of several types of hull forms, i.e. the Wigley hull, a sailing yacht hull, and a Series 60 (CB - 0.600 hull. The results are compared with experimental data.

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Available abstract

A new formulation for the fluid motion around a slender ship is developed, on the basis of an asymptotic expression of the Kelvin-source around its track. The boundary value problem is expressed by an integral equation which is much more simplified than the solution of the Neumann-Kelvin approximation. In order to examine the validity of this theory, numerical computations are carried out with respect to the pressure distribution, wave pattern and wave resistance of several types of hull forms, i.e. the Wigley hull, a sailing yacht hull, and a Series 60 (CB - 0.600 hull. The results are compared with experimental data.

Key concepts: Hull, Mathematics, Computation, Motion (physics), Ship motions, Mathematical analysis, Boundary value problem, Response amplitude operator

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