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A Time-Domain Numerical Simulation Study of Three-Dimensional Regular Waves with Different Propagation Directions

• 1、Harbin Engineering University ,College of Shipbuilding Engineering

Abstract：This work addresses the numerical generation and verification of three-dimensional differentdirectional regular waves in finite depth. We develop and implement a linear differentdirectionalwave solver based on the linearized IGN governing equations with boundary conditions; spatial discretization uses five-point central finite differences, time marching adopts a fourth-order Adams predictor-corrector (Adams-Bashforth-Moulton) scheme, and a five-point smoothing filter is applied to suppress numerical noise. At fixed water depth, wave fields are produced for multiple incident angles, and we provide instantaneous three-dimensional free-surface snapshots together with wave-gauge time histories taken in the stable region. Using the linear analytical solution as the reference, comparisons in amplitude and phase show that the numerical and analytical results agree over the target operating range, confirming the applicability and reproducibility of this linear framework for oblique-wave conditions. The solver serves as a reusable linear oblique-wave generator for experiment design and baseline numerical tests, and it establishes a baseline for subsequent nonlinear extensions and multi-directional wave-field construction.

Keywords： finite depth three-dimensionaldifferentdirectionalregular wave linear waves analytical validation wave-gauge time series