Simulation of Containership Hydrodynamic Forces and Response Amplitude Operator in Time Domain

Abstract

This study examines the dynamic response of a vessel to wave-induced excitation using the Boundary Element Method (BEM), providing comprehensive insights across six motion modes: surge, sway, heave, roll, pitch, and yaw. Time-domain wave excitation forces reveal critical peaks, with surge, sway, and heave stabilizing around 5×10^5 N, roll peaking at 2×10^9 N, and pitch and yaw reaching 5×10^10 N, highlighting roll and pitch as key areas for stability enhancement. The Response Amplitude Operators (RAOs) demonstrate consistent stabilization trends, with surge, sway, and heave modes stabilizing near 10 mm/m, while roll, pitch, and yaw exhibit oscillatory responses dampened over time. The RAO results revealed high consistency with data from recently published studies employing MATLAB and ANSYS solvers, with percentage deviations below 2% across most frequency ranges and peaking at approximately 7% near 0.26 Hz. This shows the effectiveness of the BEM method and its ability to provide critical data-driven insight into vessel design and operational efficiency.

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