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Analysis of ship flow in an ideal fluid using Guilloton's method and spline functions

Jiunn-Ming Chuang

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Abstract

In this thesis, the numerical evaluation is formulated for computing the linearized disturbance velocity of a steady, inviscid free surface gravity flow past a ship hull. The hull is represented by a system of source panels with uniformly distributed strengths on the centerplane. The improvement of the results on the boundaries, i.e. free surface and hull surface, by Guilloton’s method is investigated. Based on Guilloton’s method, thin-ship-panel approximation and cubic spline curve fitting, a scheme has been developed for setting up a computer program to compute the ship wave-making resistance, flow around the ship hull and wave elevation along the ship side. The results of sample calculations for standard hull forms of Wigley model 3012 and Series 60 block 60 have shown good agreement with the experimental results for Froude numbers between 0.25 and 0.35 which are just in the speed range of the conventional merchant ships.

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In this thesis, the numerical evaluation is formulated for computing the linearized disturbance velocity of a steady, inviscid free surface gravity flow past a ship hull. The hull is represented by a system of source panels with uniformly distributed strengths on the centerplane. The improvement of the results on the boundaries, i.e. free surface and hull surface, by Guilloton’s method is investigated. Based on Guilloton’s method, thin-ship-panel approximation and cubic spline curve fitting, a scheme has been developed for setting up a computer program to compute the ship wave-making resistance, flow around the ship hull and wave elevation along the ship side. The results of sample calculations for standard hull forms of Wigley model 3012 and Series 60 block 60 have shown good agreement with the experimental results for Froude numbers between 0.25 and 0.35 which are just in the speed range of the conventional merchant ships.

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Available abstract

In this thesis, the numerical evaluation is formulated for computing the linearized disturbance velocity of a steady, inviscid free surface gravity flow past a ship hull. The hull is represented by a system of source panels with uniformly distributed strengths on the centerplane. The improvement of the results on the boundaries, i.e. free surface and hull surface, by Guilloton’s method is investigated. Based on Guilloton’s method, thin-ship-panel approximation and cubic spline curve fitting, a scheme has been developed for setting up a computer program to compute the ship wave-making resistance, flow around the ship hull and wave elevation along the ship side. The results of sample calculations for standard hull forms of Wigley model 3012 and Series 60 block 60 have shown good agreement with the experimental results for Froude numbers between 0.25 and 0.35 which are just in the speed range of the conventional merchant ships.

Key concepts: Hull, Froude number, Inviscid flow, Free surface, Potential flow, Spline (mechanical), Marine engineering, Flow (mathematics)

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