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A HIGHER-ORDER PANEL METHOD FOR 3-D FREE SURFACE FLOWS

Merritt Hughes, Bertram

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Abstract

The new wave-resistance code STEADY uses higher-order Rankine panels as basic elements on the ship hull and canal walls and point source clusters as basic elements on the free surface. STEADY fulfills the nonlinear free-surface condition and the condition of equilibrium (dynamic trim and sinkage) iteratively. Mirror images at the water bottom enforce an optional shallow-water condition. Radiation and open-boundary conditions are enforced by staggered grids. The use of higher-order panels allows the determination of second derivatives of the potential on the hull which are important for further seakeeping computations. Test cases are the Wigley hull, the Series-60 C_B = 0.6 and the SR 138 Containership. (orig.)

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What this paper is about

The new wave-resistance code STEADY uses higher-order Rankine panels as basic elements on the ship hull and canal walls and point source clusters as basic elements on the free surface. STEADY fulfills the nonlinear free-surface condition and the condition of equilibrium (dynamic trim and sinkage) iteratively. Mirror images at the water bottom enforce an optional shallow-water condition. Radiation and open-boundary conditions are enforced by staggered grids. The use of higher-order panels allows the determination of second derivatives of the potential on the hull which are important for further seakeeping computations. Test cases are the Wigley hull, the Series-60 C_B = 0.6 and the SR 138 Containership. (orig.)

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Available abstract

The new wave-resistance code STEADY uses higher-order Rankine panels as basic elements on the ship hull and canal walls and point source clusters as basic elements on the free surface. STEADY fulfills the nonlinear free-surface condition and the condition of equilibrium (dynamic trim and sinkage) iteratively. Mirror images at the water bottom enforce an optional shallow-water condition. Radiation and open-boundary conditions are enforced by staggered grids. The use of higher-order panels allows the determination of second derivatives of the potential on the hull which are important for further seakeeping computations. Test cases are the Wigley hull, the Series-60 C_B = 0.6 and the SR 138 Containership. (orig.)

Key concepts: Seakeeping, Degree Rankine, Hull, Free surface, Trim, Computation, Marine engineering, Surface (topology)

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