A CFD-Based Correction for Ship Mass and Longitudinal Center of Gravity to Improve Resistance Simulation

In this study, a correction procedure for ship mass and its longitudinal location of center of gravity suitable for a simulation environment is proposed in OpenFOAM v6.0. The concept is implemented ensuring static equilibrium and an approximately zero-pitch moment on the ship before the simulation. The viscous flow field around the ship in calm water is simulated using the VOF (Volume of Fluid) free surface two-phase and SST (Shear Stress Transport) k–ω turbulence models. Using static mesh, the resistance error of medium and fine grids is 4%, on average, against the experimental value. As the sinkage and trim are predicted using dynamic mesh, the increasing ship’s resistance causes larger errors, except for the container ship. Through the proposed correction, the ship’s vertical motions are significantly improved, and the resistance error decreases for the dynamic simulation. For the container ship, the error of resistance and motion achieved is less than 1%. The sinkage and trim errors improve tremendously for the tanker and bulk carrier, and the resistance errors are reduced slightly, by less than 3%. In the end, the detailed flow field is analyzed, as well as the ship wave-making pattern and the nominal wake velocity distribution, and these are compared with the measurement data available. The characteristics of the flow phenomena are successfully modeled. The resistance value for each hull form satisfies the requirement of Verification and Validation, and the uncertainty values are estimated.

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Publication Details

Journal
Mathematics
Published
2025-05-27
DOI
https://doi.org/10.3390/math13111788
Primary Topic
Ship Hydrodynamics and Maneuverability
Type
article
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article

A CFD-Based Correction for Ship Mass and Longitudinal Center of Gravity to Improve Resistance Simulation

Ping-Chen Wu
Mathematics
Ship Hydrodynamics and Maneuverability
article

A CFD-Based Correction for Ship Mass and Longitudinal Center of Gravity to Improve Resistance Simulation

Ping-Chen Wu
article en

Abstract

In this study, a correction procedure for ship mass and its longitudinal location of center of gravity suitable for a simulation environment is proposed in OpenFOAM v6.0. The concept is implemented ensuring static equilibrium and an approximately zero-pitch moment on the ship before the simulation. The viscous flow field around the ship in calm water is simulated using the VOF (Volume of Fluid) free surface two-phase and SST (Shear Stress Transport) k–ω turbulence models. Using static mesh, the resistance error of medium and fine grids is 4%, on average, against the experimental value. As the sinkage and trim are predicted using dynamic mesh, the increasing ship’s resistance causes larger errors, except for the container ship. Through the proposed correction, the ship’s vertical motions are significantly improved, and the resistance error decreases for the dynamic simulation. For the container ship, the error of resistance and motion achieved is less than 1%. The sinkage and trim errors improve tremendously for the tanker and bulk carrier, and the resistance errors are reduced slightly, by less than 3%. In the end, the detailed flow field is analyzed, as well as the ship wave-making pattern and the nominal wake velocity distribution, and these are compared with the measurement data available. The characteristics of the flow phenomena are successfully modeled. The resistance value for each hull form satisfies the requirement of Verification and Validation, and the uncertainty values are estimated.

MathematicsVol. 13(11)
National Cheng Kung University (TW)
Openalex Percentile: Top 86%
Ship Hydrodynamics and Maneuverability
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A CFD-Based Correction for Ship Mass and Longitudinal Center of Gravity to Improve Resistance Simulation — Ping-Chen Wu · Mathematics (2025) | TGRS Research Map | TGRS