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Study on the Time-Domain Simulation of Oblique Regular Wave Based on the Three-Dimensional Linear Deep-Water IGN Model

• 1、College of Ship Engineering, Harbin Engineering University, Harbin 150001, China

Abstract：At present, the two-dimensional nonlinear deep-water IGN (Irrotational Green-Naghdi) model enables efficient numerical simulation of long-crested irregular waves in deep sea and accurate short-term statistical prediction of wave crests. However, since actual ocean waves are mostly short-crested irregular waves, there is an urgent need to extend the model to three dimensions and analyze its performance. Therefore, to verify the correctness of the three-dimensional nonlinear deep-water IGN model and the stability and accuracy of the numerical algorithm, this paper derives the three-dimensional linear deep-water IGN model and combines it with a time-domain numerical algorithm to conduct numerical simulation studies on linear oblique regular waves propagating in different directions. The spatial distribution of the wave field and the time history within a stable region are provided, and a comparative analysis is performed with the analytical solutions of linear wave theory. The research shows that for linear regular waves propagating in different directions, within the effective region, the numerical results of wave height are consistent with the theoretical values, verifying the correctness of the model and the stability and accuracy of the numerical algorithm. This provides a solid foundation for the subsequent application of the model to nonlinear/multidirectional deep-water wave problems.

Keywords： fluid mechanics deep-water IGN model linear waves oblique regular waves time-domain simulation model validation