Finite difference simulation of nonlinear waves generated by ships of arbitrary three-dimensional configuration

A modified marker-and-cell method is developed in order to simulate nonlinear wave making in the near-field of ships of arbitrary three-dimensional (3D) configuration advancing steadily in deep water. The 3D Navier-Stokes equations are solved by a finite difference scheme under proper boundary condi...

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Bibliographic Details
Published inJournal of computational physics Vol. 60; no. 3; pp. 391 - 436
Main Authors Miyata, Hideaki, Nishimura, Shinichi, Masuko, Akira
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.09.1985
Elsevier
Subjects
Applied fluid mechanics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamics, hydraulics, hydrostatics
Physics
Digital simulation
Free surface flow
Poisson equation
Hydrodynamics
Surface wave
Incompressible fluid
Wave generation
Floating body
Boat
Finite difference method
Non linear wave
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Summary:A modified marker-and-cell method is developed in order to simulate nonlinear wave making in the near-field of ships of arbitrary three-dimensional (3D) configuration advancing steadily in deep water. The 3D Navier-Stokes equations are solved by a finite difference scheme under proper boundary conditions. Efforts are particularly focused on the treatment of the boundary conditions on the body surface and free surface which have complicated 3D configurations. An orthogonal cell system with more than 70,000 cells is used for the computation of the waves and flow field of ships. The agreement of computational results with experiment is good, and it promises effectiveness for engineering purposes.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(85)90028-2