On reduced models for gravity waves generated by moving bodies

摘要: In 1982, Marshall P. Tulin published a report proposing framework for reducing the equations gravity waves generated by moving bodies into single nonlinear differential equation solvable in closed form [Proc. 14th Symp. on Naval Hydrodynamics, pp.19-51]. Several new and puzzling issues were highlighted Tulin, notably existence of weak strong wave-making regimes, paradoxical fact that theory seemed to be applicable flows at low speeds, "but not too speeds". These important left unanswered, despite novelty ideas, Tulin's fell relative obscurity. Now thirty years later, we will revive observations, explain how an asymptotically consistent allows us address these concerns. Most notably, explain, using asymptotic method steepest descents, production free-surface can related arrangement integration contours connected shape body. This approach provides intuitive visual procedure studying wave-body interactions.