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.


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    Title :

    Analytical representation of ship waves


    Additional title:

    Analytische Darstellung von Wellen, die durch das Schiff erzeugt werden


    Contributors:

    Published in:

    Publication date :

    2001


    Size :

    26 Seiten, 2 Bilder, 22 Quellen



    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English





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