Mathematical modeling and transom conditions for the transom flows in the wave-making problem of high-speed ships

The reasonable mathematical modeling and transom conditions for the transom flows are investigated through analyzing the physical characters of transom flow phenomena of high speed ships. Corresponding numerical forms of the transom conditions in the BEM calculations for the wave-making problem of high speed ships are presented, taking consideration of the difficulties in imposing the transom condition at the lower edge (assumed detachment point) of the transom for different treatments about positioning collocation points on the panels of varying orders. Computed results of the numerical examples indicate that they can characterize the transom flows and lead to wave patterns similar to the results of the experiment.