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 processs. 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 overwiew of this theory.
Analytical representation of ship waves
Analytische Darstellung von Wellen, die durch das Schiff erzeugt werden
Ship Technology Research / Schiffstechnik ; 48 , 1 ; 23-48
2001
26 Seiten, 2 Bilder, 22 Quellen
Article (Journal)
English
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