Ocean Wave Prediction Using Large-Scale Phase-Resolved Computations

A direct phase-resolved simulation tool for large-scale nonlinear ocean wavefield evolution, which is named SNOW, has been developed. Unlike the phase-averaged model, it solves the primitive Euler equation and preserves the phases of the wavefield during its nonlinear evolution. Therefore, the detailed descriptions of the free surface and the kinematics of the wavefield are obtained. To provide realistic and representative wavefields for ship motion analyses, we have computed an ensemble of three-dimensional (3D) wavefields (of typical domain size of O(103~4) km2) based on initial JONSWAP spectra. The statistical properties of the synthetic wavefields are computed and compared with theory and experimental measurements to study long-time sea spectrum evolution. SNOW simulations have been used to identify and characterize the occurrence statistics and dynamical properties of extreme wave events. We confirm that linear theory significantly under predicts the probability of large rogue wave events, especially for sea states with narrow spectra bandwidth and narrow directional spreading angle. A new phase-resolved wave prediction capability, with the incorporation of multiple hybrid (satellite/radar/lidar/wave-probe) sensed wave data as initial input, for deterministic short time O(Tp) prediction of ocean waves in deep water close to real time in a region with relatively small scale (~O(1) km×O(1) km) for a single ship handling is also developed. The validity and efficacy of SNOW in reliably predicting nonlinear ocean wavefield evolution is demonstrated and verified.

[1]  Luigi Cavaleri,et al.  Dynamics and Modelling of Ocean Waves: The physical description of wave evolution , 1994 .

[2]  M. A. Tayfun,et al.  Narrow-band nonlinear sea waves , 1980 .

[3]  Dick K. P. Yue,et al.  A high-order spectral method for the study of nonlinear gravity waves , 1987, Journal of Fluid Mechanics.

[4]  Nobuhito Mori,et al.  Analysis of freak wave measurements in the Sea of Japan , 2002 .

[5]  D. Yue,et al.  Effects of wavelength ratio on wave modelling , 1993, Journal of Fluid Mechanics.

[6]  Robert N. Swift,et al.  Airborne Measurements of the Wavenumber Spectra of Ocean Surface Waves. Part I: Spectral Slope and Dimensionless Spectral Coefficient* , 2000 .

[7]  D. Yue,et al.  COMPUTATION OF NONLINEAR FREE-SURFACE FLOWS , 1996 .

[8]  Douglas G. Dommermuth,et al.  The initialization of nonlinear waves using an adjustment scheme , 2000 .

[9]  T. Waseda Impact of directionality on the extreme wave occurrence in a discrete random wave system , 2006 .

[10]  Kevin Ewans,et al.  Observations of the Directional Spectrum of Fetch-Limited Waves , 1998 .

[11]  Dick K. P. Yue,et al.  A high-order spectral method for nonlinear wave–body interactions , 1992, Journal of Fluid Mechanics.

[12]  A note on stabilizing the Benjamin–Feir instability , 2006, Journal of Fluid Mechanics.

[13]  Vladimir E. Zakharov,et al.  Stability of periodic waves of finite amplitude on the surface of a deep fluid , 1968 .

[14]  Peter A. E. M. Janssen,et al.  Nonlinear Four-Wave Interactions and Freak Waves , 2003 .

[15]  Paul A. Hwang,et al.  Directional Distributions and Mean Square Slopes in the Equilibrium and Saturation Ranges of the Wave Spectrum , 2001 .

[16]  Karsten Trulsen,et al.  Influence of crest and group length on the occurrence of freak waves , 2007, Journal of Fluid Mechanics.

[17]  Dick K. P. Yue,et al.  On generalized Bragg scattering of surface waves by bottom ripples , 1998, Journal of Fluid Mechanics.

[18]  C T Stansberg,et al.  Observation of strongly non-Gaussian statistics for random sea surface gravity waves in wave flume experiments. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Katrin Hessner,et al.  Inversion of Marine Radar Images for Surface Wave Analysis , 2004 .