A Nonlinear Mathematical Model for Ship Turning Circle Simulation in Waves

In actual operation process of a ship, the engine-propeller-hull is an integrated system with internal coupling effects, and thus there is a close interaction between the diesel engine propulsion system operation conditions and the ship manoeuvring motions. The propulsion system can experience large power fluctuation during manoeuvring, with considerable torque increase with regard to the stabilized value in straight course. However, the diesel engine propulsion system behaviour and ship manoeuvrability are usually studied separately as they are considered to belong to different disciplines. Thus, it is difficult to reflect the actual operating characteristics of the propulsion system and ship manoeuvring motion under coupled conditions in actual operation. To investigate the interaction between the propulsion system behaviour and the manoeuvrability of a large containership, this paper proposed a multi-disciplinary ship mobility model capable of coupling the marine diesel engine model and the ship manoeuvring model. In the engine model, the mean value modelling approach was adopted to simulate the two-stroke marine diesel engine considering the fact that it can capture the performance of the engine sub-systems including scavenging receiver, exhaust gas receiver, turbocharger, etc. In the manoeuvring model, the MMG-based method was used to simulate the ship manoeuvring motion with three degrees-of-freedom. The engine model and manoeuvring model were coupled through the propeller model that transferring propeller speed and torque between the two models. The coupled model was validated against the engine shop test data and the sea trial results. By applying this coupled model, a series of simulations of turning circle manoeuvres under various scenarios were performed. The simulation results presented the dynamic response of engine internal sub-systems during turning circle manoeuvring, explained the effect of the torque limiter on engine performance and ship manoeuvring motion, and analyse the influence of different propulsion system control strategies on the ship turning circle manoeuvrability. Although the presented case study has been validated on a specific ship, most of the discussed models have a general application.

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“…However, if the empirical value of K 2 could be calibrated, the prediction result can be significantly improved. 46…”

Section: Ship Manoeuvring Modelmentioning

confidence: 99%

Numerical investigation of interaction between propulsion system behaviour and manoeuvrability of a large containership

Huan

Chen

2021

Proceedings of the Institution of Mechanical Engineers, Part M:

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“…Such forces/moments could be practically superposed using coefficients of discrete frequency and phase based on the linear hypothesis. For instance, a unified model expanded from Fossen [9] is shown in Equation (10).…”

Section: Hydrodynamic Coefficients Databasementioning

confidence: 99%

“…The simulation of ship motions could also contribute to the development of the model's predictive control algorithm [7]. Since the wave disturbance is the most dangerous effect in navigation, many investigations have focused on simulating ship maneuvering behaviors in waves [8][9][10][11]. The pioneering work in this field was undertaken by Cummins [12] and Ogilvie [13].…”

Section: Introductionmentioning

confidence: 99%

A Stereolithographic Model-Based Dense Body Plan Generation Method to Construct a Ship Hydrodynamic Coefficients Database

Jing¹,

Shen²,

Yin³

2020

JMSE

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A ship’s body plan is a vital data resource of ship hydrodynamics analysis, especially for time-domain simulations. Motivated by 3D printing technology, a novel dense body plan generation method is developed in this study. The slicing algorithm is adopted to generate dense 2D body plans from ship stereolithographic models. The dense body plan can be produced automatically under arbitrary rotational angles and slices. Moreover, a section redistribution algorithm is integrated to eliminate the non-uniform distribution features in sliced data inherited from the stereolithographic models. The benchmark ship models are selected to validate the accuracy of the method. The hull volumes of three ship models are calculated based on the produced data. The calculated results show satisfactory agreement with the published values. Furthermore, the estimation formulas of wetted surface area (WSA) are reviewed and utilized for validation. The calculated WSAs by slice integration turn out to be adaptive and accurate. The time costs of different slices are provided to illustrate the computational efficiency. A ship hydrodynamic coefficients database is constructed based on a 2D strip method and the produced data. The proposed method aims to improve the generation process of the body plan, which could meet the accuracy requirements of the strip method. As a result, hydrodynamic coefficients utilized in time-domain simulations could be obtained smoothly from the database.

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“…Sutulo and Soares [13] proposed an auxiliary state variable method to simplify the calculation of the convolution integral in the "memory effect." Fang et al [14] calculated the additional mass and damping of the ship according to the instantaneous encounter frequency in the ship's turning process and proposed a nonlinear model to calculate the ship's turning trajectory in waves. Lin et al [15] expanded LAMP, a three-dimensional seakeeping software, and conducted numerical prediction of the maneuverability of various ship models in waves.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Wave Drift Load and Turning Characteristics of KVLCC2 Ship in Regular Waves Based on TEBEM

Chen

Zhang

Duan

2022

JMSE

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Maritime traffic has increased considerably in recent years, making energy efficiency and navigation safety of ships more crucial than ever. Hence, a two-time scale model based on the Taylor expansion boundary element method (TEBEM) is proposed to predict ship turning trajectories in regular waves. The maneuvering motion is calculated using a three degrees of freedom MMG model that considers the wave drift loads. TEBEM overcomes the shortcomings of the constant panel method in solving tangential induced velocity at a non-smooth boundary and that of the high-order boundary element method in dealing with a high-order derivative of the velocity potential at the corner. This significantly improves the calculation accuracy of the induced velocity and high-order derivative of velocity potential. Firstly, based on the TEBEM, the surge and sway wave drift forces and yaw moment of the KVLCC2 model with drift angle under full wave headings are calculated and compared with computational fluid dynamics results, using which the calculation accuracy of TEBEM is verified. Subsequently, the two-time scale model is used to calculate the turning trajectories of the KVLCC2 model in regular waves with different wave headings, wave frequencies, and wave steepness. The numerical results show that the drift angle has a certain effect on the wave drift loads of the ship, and the proposed model can effectively predict the ship’s turning motion in regular waves.

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A Nonlinear Mathematical Model for Ship Turning Circle Simulation in Waves

Cited by 39 publications

References 6 publications

Numerical investigation of interaction between propulsion system behaviour and manoeuvrability of a large containership

Numerical investigation of interaction between propulsion system behaviour and manoeuvrability of a large containership

A Stereolithographic Model-Based Dense Body Plan Generation Method to Construct a Ship Hydrodynamic Coefficients Database

Numerical Study of Wave Drift Load and Turning Characteristics of KVLCC2 Ship in Regular Waves Based on TEBEM

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