Berechnung der Potentialströmung um einen schräg fahrenden Schiffsrumpf auf tiefem und flachem Wasser

Abstract

Berechnung der Potentialströmung um einen schräg fahrenden Schiffsrumpf auf tiefem und flachem Wasser A Rankine panel method for calculating lifting potential flow about three-dimensional surface-piercing bodies in deep and/or shallow water is developed and applied to ships in steady motion at small drift angles. The disturbance velocity potential is represented by a source distribution on the hull surface and on a horizontal plane above the free surface, and by a normal dipole distribution on the centerplane of the ship and downstream of the trailing edge of the hull. The singularity strengths are determined so that the boundary conditions on the hull surface and free surface and the Kutta condition at the trailing edge are satisfied at the corresponding collocation points. Moreover, the radiation condition is satisfied by using the numerical technique of "staggered grids" suggested by Jensen, while the shallow water effect is taken into account by the method of images