Abstract

This paper presents CFD (Computational Fluid Dynamics) simulations of the performance of a planing hull in a calm-water condition, aiming to evaluate similarities and differences between results of different CFD models. The key differences between these models are the ways they use to compute the turbulent flow and simulate the motion of the vessel. The planing motion of a vessel on water leads to a strong turbulent fluid flow motion, and the movement of the vessel from its initial position can be relatively significant, which makes the simulation of the problem challenging. Two different frameworks including k-ε and DES (Detached Eddy Simulation) methods are employed to model the turbulence behavior of the fluid motion of the air–water flow around the boat. Vertical motions of the rigid solid body in the fluid domain, which eventually converge to steady linear and angular displacements, are numerically modeled by using two approaches, including morphing and overset techniques. All simulations are performed with a similar mesh structure which allows us to evaluate the differences between results of the applied mesh motions in terms of computation of turbulent air–water flow around the vessel. Through quantitative comparisons, the morphing technique has been seen to result in smaller errors in the prediction of the running trim angle at high speeds. Numerical observations suggest that a DES model can modify the accuracy of the morphing mesh simulations in the prediction of the trim angle, especially at high-speeds. The DES model has been seen to increase the accuracy of the model in the computation of the resistance of the vessel in a high-speed operation, as well. This better level of accuracy in the prediction of resistance is a result of the calculation of the turbulent eddies emerging in the water flow in the downstream zone, which are not captured when a k-ε framework is employed. The morphing approach itself can also increase the accuracy of the resistance prediction. The overset method, however, overpredicts the resistance force. This overprediction is caused by the larger vorticity, computed in the direction of the waves, generated under the bow of the vessel. Furthermore, the overset technique is observed to result in larger hydrodynamic pressure on the stagnation line, which is linked to the greater trim angle, predicted by this approach. The DES model is seen to result in extra-damping of the second and third crests of transom waves as it calculates the stronger eddies in the wake of the boat. Overall, a combination of the morphing and DES models is recommended to be used for CFD modeling of a planing hull at high-speeds. This combined CFD model might be relatively slower in terms of computational time, but it provides a greater level of accuracy in the performance prediction, and can predict the energy damping, developed in the surrounding water. Finally, the results of the present paper demonstrate that a better level of accuracy in the performance prediction of the vessel might also be achieved when an overset mesh motion is used. This can be attained in future by modifying the mesh structure in such a way that vorticity is not overpredicted and the generated eddies, emerging when a DES model is employed, are captured properly.

Highlights

  • Several studies have been conducted in the last two decades to provide us with more accurate hydrodynamic tools in the prediction of the performance of planing hulls operating in calm-water conditions

  • Simulations were performed to improve the knowledge about the accuracy and ability of different CFD models in numerical replication of the steady planing problem

  • Detached Eddy Simulation (DES) simulations provide a greater level of accuracy in resistance calculation when mesh motion is modeled with morphing technique, compared to k-ε simulations

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Summary

Background

Planing hulls are high-speed marine vehicles that have been used for different purposes, such as marine racing and coast guarding, since the early 1900s. Under the action of the large hydrodynamic pressure, a lift force is generated, which pushes the bow of the vessel upward This pitched-up bow riding motion minimizes the wave-making resistance, enabling the vessel to reach relatively high-speeds in the water. The prediction of the hydrodynamic performance of the vessel enables us to avoid such instabilities in the early stage design. This task, is not straightforward as a few complex physical phenomena, including turbulence mixing, transom waves, and water spray are involved in the steady planing problem [4]. Several studies have been conducted in the last two decades to provide us with more accurate hydrodynamic tools in the prediction of the performance of planing hulls operating in calm-water conditions

Steady Planing Phenomenon
The Present Paper
CFD Models
Governing Equations
Computational Domain and BCs
Grid Structure
Details of Simulations
The Studied Vessel
Grid Study
Vorticity Field around the Vessel
A Brief Discussion on Computational Time
Conclusions
Full Text
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