Evaluation of the modied 3D free-surface Green''s function for potential ow in a numerical towing tank

What is derived in this paper is the potential ow around the marine structuresin the numerical towing tank. the green's formula and image method is employed to solvethe boundary value problem. the green's function satises the laplace equation and theboundary conditions on the bottom, walls and free surface. the green's function consists ofthree parts. the rst part is correlated with spatial spacing between the source and a eldpoint. the second part consists of the free surface disturbance. the radiation condition isdealt with in the third part to ensure that the waves vanish upstream of the source. aninnite series is obtained for each part of the green's function using the image method.eects of the numerical towing tank's width and depth on the solution are investigated, andthe ow patterns due to the presence of a singularity with constant strength in the uniformow are computed. uniform motion of a submerged sphere and ellipsoid are simulatedand compared with the analytical solutions and other numerical results. wave proles arecomputed for a sphere and an ellipsoid to show the eect of the tank width on the solution.