Analytical Representation of Ship Waves (23rd Weinblum Memorial Lecture)
Abstract
Four fundamental analytical representations of time-harmonic ship waves, and the particular cases of steady ship waves and wave diffraction-radiation without forward speed, are summarized. These analytical representations are (i) a boundary-integral representation, called velocity representation, that defines a free-surface potential flow in terms of a velocity distribution at a boundary surface, (ii) a practical Fourier representation of super Green functions associated with a broad class of dispersive waves and arbitrary singularity distributions, (iii) a simple representation, called Fourier-Kochin wave representation, of the waves due to an arbitrary boundary velocity distribution, (iv) a corresponding representation of local flows, called Rankine and Fourier-Kochin representation, based on the velocity representation, the Fourier- Kochin approach, and a Rankine-Fourier decomposition process. The four analytical representations are the main results underlying the Fourier-Kochin theory of ship waves. The results are organized in an order intended to provide a coherent and complete overview of this theory.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 2000
- Accession Number
- ADA381653
Entities
People
- Francis Noblesse
Organizations
- Naval Surface Warfare Center Carderock Division