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NONLINEAR SHIP WAVES

Y H Kim, Thomas W. Lucas

Open publisher page 4 citations

Abstract

A boundary element method is presented for solving a nonlinear free surface flow problem for a ship moving a constant speed on a calm sea. The method of solution is based on distribution of simple Rankine type (l/r) singularities on the body and on the true location of the free surface, which must be obtained by iteration. The key is the iterative algorithm for determining the free surface and wave resistance using a new one parameter family of upstream finite difference methods. A verification of numerical modelling is made using Wigley hull and validity of computer program is examined carefully by comparing the details of wave profiles and wave-making resistance with Series 60, CB=0.60 model.

About this research paper

What this paper is about

A boundary element method is presented for solving a nonlinear free surface flow problem for a ship moving a constant speed on a calm sea. The method of solution is based on distribution of simple Rankine type (l/r) singularities on the body and on the true location of the free surface, which must be obtained by iteration. The key is the iterative algorithm for determining the free surface and wave resistance using a new one parameter family of upstream finite difference methods. A verification of numerical modelling is made using Wigley hull and validity of computer program is examined carefully by comparing the details of wave profiles and wave-making resistance with Series 60, CB=0.60 model.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A boundary element method is presented for solving a nonlinear free surface flow problem for a ship moving a constant speed on a calm sea. The method of solution is based on distribution of simple Rankine type (l/r) singularities on the body and on the true location of the free surface, which must be obtained by iteration. The key is the iterative algorithm for determining the free surface and wave resistance using a new one parameter family of upstream finite difference methods. A verification of numerical modelling is made using Wigley hull and validity of computer program is examined carefully by comparing the details of wave profiles and wave-making resistance with Series 60, CB=0.60 model.

Key concepts: Hull, Free surface, Degree Rankine, Nonlinear system, Iterative method, Mathematics, Constant (computer programming), Mathematical analysis

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