TY  - JOUR
ID  - Jankowski2006
LB  - Jankowski2006
AU  - Jankowski, Jan
TI  - Fundamental solution of the problem describing ship motion in waves
ST  - Fundamental solution of the problem describing ship motion in waves
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2006
VL  - 26
IS  - 3
SP  - 471
EP  - 481
DO  - http://dx.doi.org/10.7494/OpMath.2006.26.3.471
UR  - http://dx.doi.org/10.7494/OpMath.2006.26.3.471
AB  - 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.
KW  - ship hydrodynamics
KW  - boundary value problem
KW  - free surface potential flows
KW  - fundamental solution
SN  - 1232-9274
ER  -