Nonlinear vs. linear supercritical dead water

Abstract eng:
Nonlinear calculations of the internal wave wake behind a moving ship – dead water – differ largely from the state-of-the-art linear calculations, where the ratio between the ship draught and surface layer depth constitutes the nonlinearity parameter. The fundamental differences come from the local finite excursions of the flow at the complex ship geometry. Assuming a two-layer model, it is shown that linear theory overpredicts the wave wake excursions by 50 per cent, when the ship draught is comparable to the surface layer depth. The nonlinear calculations fit with observations. The ship speed is supercritical. Evaluation of the surface velocity and strain rate may be used for observational interpretation.

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