Fundamental solution of the problem describing ship motion in waves

• Autorzy: Jankowski J.
• Języki publikacji: EN

Abstrakty

EN

The problem describing a ship motion in waves comprises the Laplace equation, boundary condition on wetted surface of the ship, condition on the free surface of the sea in the form of a differential equation, the radiation condition, and a condition at infinity. This problem can be transformed to a Fredholm equation of second kind, and then numerically solved using the boundary element method, if the fundamental solution of the problem is known. This paper presents the derivation of the fundamental solution. In physical interpretation, the fundamental solution represents the moving and pulsating source under free surface of the sea. The free surface elevation, generated by the source for different forward speed and frequency of pulsation, is presented in this paper.

Słowa kluczowe

EN

ship hydrodynamics; boundary value problem; free-surface potential flows; fundamental solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 3
• Strony: 471--481
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Jankowski J.

• Polski Rejestr Statków S.A., al. Gen. J. Hallera 126, 80-316 Gdańsk, Poland,

Bibliografia

• [1] R. Brard: The representation of a given ship form by singularity distributions when the boundary condition on the free surface is linearized, Journal of Ship Research, March 1972.
• [2] M. D. Khaskind: Gidromekhanicheskaia teoria kachki korablia, Nauka, Moskva, 1973.
• [3] J. Jankowski: Statek wobec działania fali, Polski Rejestr Statków, Gdańsk, 2006.
• [4] N. N. Lebiediew: Funkcje specjalne i ich zastosowania, PWN, Warszawa, 1957.
• [5] W. L. Smirnow: Matematyka wyższa, Vol III, PWN, Warszawa, 1967.