A three-dimensional numerical model using vortex lattice methods is developed to solve the steady planing problem. This paper examines assumptions related to high-speed planing hydrodynamics, including those used by two-dimensional slender-body theories. Emphasis is placed upon the investigation of various modeling issues such as the zero pressure condition on the free surface and the treatment of the flow off the chines. Numerical results including hydrodynamic forces and pressure distributions are presented and compared with experiments. A simple model to include the effect of gravity in the near field is also examined. The models described here can be incorporated into design methodologies for predicting the hydrodynamic force and moment acting on planing hulls with general shape.
Modeling Issues Related to the Hydrodynamics of Three-Dimensional Steady Planing
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Lai, Canhai, and Armin W. Troesch. "Modeling Issues Related to the Hydrodynamics of Three-Dimensional Steady Planing." J Ship Res 39 (1995): 1–24. doi: https://doi.org/10.5957/jsr.19184.108.40.206
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