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본 연구에서는 KVLCC2의 파랑 중 부가저항과 운동을 Unsteady Reynolds-Averaged Navier-Stokes(URANS) 방법과 3차원 포텐셜법을 이용하여 추정하였다. 수치해석은 3가지 선박속도(설계, 운항, 정지 속도)에서 다양한 파랑조건에서의 선박의 부가저항 및 수직운동(상하 및 종 동요 응답)의 추정에 대해 수행되었다. 첫째, CFD와 3차원 포텐셜 방법을 이용하여 규칙파에서의 선박속도와 파랑조건에 따른 선박의 부가저항과 운동을 추정하고 실험값과의 비교를 통해 두 수치 해석법의 특징을 살펴보았다. 둘째, CFD를 이용한 선박의 속도별 비정상 파형 분포와 선박의 부가저항 및 운동의 시간이력에 대해 해석하였다. 수치 격자계에 대한 수렴도를 확인하였고 수치계산과 모형시험 결과를 비교하여 사용한 수치 기법들을 체계적으로 검증 하였다. 이를 통해 본 연구에 적용된 수치해석법들의 신뢰성과 선속변화에 따른 파랑 중 부가저항과 선박의 수직운동에 대한 관계를 확인하였다.
The present study provides numerical simulations to predict the added resistance and ship motion of the KVLCC2 in regular waves using the unsteady Reynolds-Averaged Navier-Stokes (URANS) and 3-D potential methods. This numerical analysis is focused on added resistance and vertical ship motions (heave and pitch) under a wide range of wave conditions at three ship speeds (design, operating and zero speeds). Firstly, the characteristics of the CFD and 3-D potential flow methods are presented to predict added resistance and ship motions in regular waves taking into account various wave conditions at design speed to provide a validation study as well as at operating and zero speeds. Secondly, analyses of added resistance and ship motion with unsteady wave patterns and time history results as simulated by CFD were performed at each ship speed. Systematic validation and verifications of the numerical computations in this study were made against available Experimental Fluid Dynamics (EFD) data including grid convergence tests to demonstrate that reliable numerical results were obtained for the prediction of added resistance and ship motion in waves. Relationships between added resistance, vertical motion and changes in ship speeds were also found.
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In this section, the simulation results by CFD and the 3-D potential methods are presented by comparing with available experimental data for the added resistance and the ship motions in regular waves. Unsteady wave patterns and time history results of the resistance and ship vertical motions in waves simulated by CFD are also provided.
PRECAL is 3D source-sink frequency domain code capable to solve the forward speed linear Boundary Value Problem (BVP) using the Approximate Forward Speed (AFS) and the Exact Forward Speed (EFS) formulations. In this study, forward speed ship motions are solved using the AFS formulation due to its fast and accurate results. The added resistance is calculated using the near-field method based on direct pressure integration over the mean wetted hull surface using the second-order forces to calculate wave drift forces while the first-order forces and moments are calculated to solve the ship motions.
In this study, the numerical simulations for the prediction of the added resistance and the ship motions for KVLCC2 in regular waves are performed by the URANS and the 3-D potential flow methods as a validation study by comparison with experimental data. For CFD, grid convergence test are carried out to find an optimal mesh system.
The added resistance and the ship vertical motions (heave and pitch) in regular head waves have been simulated by the unsteady RANS and the 3-D potential flow methods for a wide range of wave conditions at three ship speeds which are design speed (Vs=15.5kts) as validation study including grid convergence test as well as operating (Vs=12kts) and zero (Vs=0kts) speeds taking into account the ship slow steaming speed and harbour conditions, respectively. Time histories of the resistance and the ship motions in waves calculated by CFD are analysed at each ship speed and the relationship of the resistance force and the ship motions are investigated with unsteady wave patterns and viscous effect.
With consideration for the slow steaming or the realistic operating speeds of the vessel, the effect of the ship speed on the added resistance and ship motions was investigated. In addition to the assumed operating speed (12kts), the cases for the zero speed (0kts) taking into account harbour condition are also simulated as summarised in Table 4.
3-D potential flow calculation is performed using PRECAL (PREssure CALculation) software developed by MARIN (2009), based on the planer panel approach which can calculate the seakeeping behaviour of monohulls, catamarans and trimarans. In addition to the rigid body motions, it can also calculate the deformation modes of the ships girder, internal loads, pressure on the hull and added resistance in waves.
Semi-implicit method for pressure-linked equations (SIMPLE) algorithm was used to resolve the pressure-velocity coupling and a standard k-ε model was applied as the turbulence model.
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