# Fluid Dynamics Simulation Tool C-wizard Speeds up High-speed Planing Boat Design

## Why Do We Need CFD Calculations For Planning Boats?

High-speed planing hulls can be characterized by a flow with a large spray, a dry transom at design speed, and a flow separation at the chine with a possible reattachment along the sides. Its characteristic stagnation line is associated with large pressure gradients. State-of-the-art CFD techniques can compute the performance of planning boats taking all these elements into consideration.

VOF RANS software typically base their recommendation for the time step on the boat’s speed: the higher the boat speed, the smaller the time step should be.

## How Can CFD Calculation Benefit From Savitsky Prediction?

The Savitsky prediction is directly embedded into the C-Wizard. Hence, the C-Wizard can estimate the position of the fast boat (trim and sink) allowing the CFD simulation to start directly from the dynamic equilibrium position of the planing hull for the given speed. This means we get a mesh that is already aligned with the flow and we do not need to use the acceleration ramp to reach the final speed and position. The main benefits are the gain in convergence time, higher numerical stability, and accuracy.

## Referenced Case Description

One of the validation studies of the C-Wizard Planing regime approach is based on the experimental results of E. Thornill et al [1]. A set of bare hull resistance tests were performed on a 1/8 scale model of an 11.8 m long planing hull. The model is a generic quasi-prismatic hull which suits Savitsky prediction conditions. The main parameters of the model can be found in the Figure 1 below.

Figure  1: Parameters of the hull model

## Results

The generated automatic mesh is shown here below and contains 1.343.000 cells including the viscous layers. Simulations have been performed on a standard workstation with 9 CPUs reaching the convergence around 1,2 sec of the flow time and 8 hours of simulation time. General representation of the mesh can be found in Figure 2.

Figure 2: General mesh representation: side and aft view

A fully automated mesh generation procedure was implemented in C-Wizard, based on the refinement dictionary and completed with the input physical condition. The refinement dictionary has been created based on the experience and validation results of the evaluation tests. For the current study the mesh was generated including extra refined zones of the free surface and the aft-zone of the boat.

The result is a mesh of the high quality, especially in terms of orthogonality and viscous layer insertion, preventing the non-physically diffused, streaked mass fraction on the hull surface. At the same time the obtained solution benefits from the high accuracy numerical scheme, aimed to eliminate the high diffusion of the mass fraction from the solver side.

The full study has been performed over a range of speeds between 3 m/s and 7 m/s for the ballast conditions in calm water. Experimental results provided in [1] allow us to compare the Towing force, running Trim and Sinkage obtained with the FINE™/Marine C-Wizard setup. Results of the comparison can be seen in Figures 3 to 5.

Figure 3: Total resistance: FINE™/Marine results  against the experimental data of  E. Thornill et al [1]

Figure 4: Sinkage: FINE™/Marine results  against the experimental data of  E. Thornill et al [1]

Figure 5: Dynamic trim: FINE™/Marine results  against the experimental data of  E. Thornill et al [1]

## Conclusion

FINE™/Marine C-wizard Planing regime simulation shows a good correlation with the experimental data for Total resistance, running Trim angle and CoG sinkage;

The automated procedure from the inputs to the start of the simulation include all the steps from mesh generation to solver parameters preparation, based on the physical conditions: mesh specifics consider the flow around the stern area and body motion parameters are respected by the C-Wizard Planing regime setup;

The Savitsky prediction included into the procedure provides a good estimation of the final position for the planing hull and helps to get a faster converged simulation: it is possible to save up to 50% of the CPU simulation time.

## References

Planing Hull Model Tests for CFD Validation, E. Thornill et al, 6th Canadian Marine Hydromechanics and Structures Conference, 23-26 May, 2001 Vancouver BC

## Posted by Anastasia Zubova

Anastasia holds a PhD in Fluid mechanics from the State Marine Technical University of Saint-Petersburg (Russia) with the numerical methods and application of CFD in ship maneuverability focus. Her International engineering experience includes various hydrodynamics studies and covers as well the high speed crafts and wing-in-ground effect complex studies. As the member of Marine Products & Applications group Anastasia drives the Product quality assurance procedures, performs the technical benchmark studies and gives the Software training sessions.

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