A three-dimensional numerical model using vortex lattice methods is de
veloped to solve the steady planing problem. This paper examines assum
ptions related to high-speed planing hydrodynamics, including those us
ed by two-dimensional slender-body theories. Emphasis is placed upon t
he investigation of various modeling issues such as the zero pressure
condition on the free surface and the treatment of the flow off the ch
ines. Numerical results including hydrodynamic forces and pressure dis
tributions 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 methodologie
s for predicting the hydrodynamic force and moment acting on planing h
ulls with general shape.