Wigley Hull | CFD Simulation & Validation


The Wigley hull is representative of the basic canoe shape profile which can be parametrized using the equations for a parabola. This allows for the direct representation of its low profile shape in characterizing the boat's hydrodynamic characteristics by the slender body theory. Due to the small wake this shape generates, the hydrodynamic characteristics can be defined by the slender body theory. Hence this shape has been a traditional starting point for CFD validation.

In our study, the hull was dimensioned with Beam x Draft x Length at 0.1m x 0.1m x 1m. At a velocity of 1m/s, the case was effectively simulated at a Froude # of 0.316 and a Reynolds # of 100,000. An unsteady RANS solution with the Volume of Fluid (VOF) approach to track the water surface was utilized. The simulation was advanced for 5 seconds until the wave profile in the simulation domain stabilized.

Streamwise Velocity along the Hull Length

 

To validate the wave profile, we collected the wave height information along the surface of the hull. Normally, this data is collected at a constant distance from the center line, however this distance could not be identified from the literature. Despite, both the shape and the height of the waves matched the published data closely.

 
 

Water Elevation on the Surface of Hull

We predicted a drag coefficient of 0.002 based on a measured wetted surface area of 0.148m2. These predictions are in close agreement with the literature.

 Evolution of Wake Profile  

Time Evolutions of the Wave Profile

(click to animate)