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A nonhydrostatic model with a higher-order top-layer pressure treatment is developed. Accuracy with respect to linear wave dispersion and wave nonlinearity is carefully examined. The model is thereafter applied to simulate nonlinear deep-water wave groups. For slowly modulated wave groups, the model well predicts the characteristics of bichromatic waves better than those obtained by the fourth-order nonlinear Schrodinger equation and the multilayer Boussinesq model. For fast evolution of focusing wave groups, the model accurately captures the limiting extreme wave conditions. Particularly the predicted local wave steepness of a narrow-banded wave group is higher than that of a broad-banded wave group, supporting the importance of spectral bandwidth in determining the limiting wave condition in the previous study. Overall, the agreement between the model's results and experimental data are excellent, demonstrating the capability of the model on resolving wave-wave interactions in the nonlinear deep-water wave groups. DOI: 10.1061/(ASCE)EM.1943-7889.0000078 CE Database subject headings: Hydrostatics; Deep water; Water waves; Wave groups. Author keywords: Nonhydrostatic; Top-layer pressure treatment; Bichromatic waves; Focusing waves; Deep-water wave groups; Nonlinear wave-wave interactions.

The results of laboratory experiments on transient (short lived), extreme (highest nonbreaking) waves on depth-varying currents are reported. A new feedback control wave focusing method on currents was developed to create transient, extreme waves in the presence of desired depth-varying currents at the prescribed position. Both wave profiles and time series of surface displacements were measured to examine the spatial and temporal characteristics of extreme waves. Wavelengths estimated from dispersion relations consistently underestimated those measured directly from the video images of transient extreme waves. This underestimation well correlates with a proposed wavelength asymmetry parameter [xi] (a ratio of the trough length to the crest length), suggesting the rapid change of a transient wave profile during a wave cycle. The effects of the current shear on transient, extreme wave profiles are recognized. The negative shear increased the limiting wave steepness but reduced the vertical asymmetry. The vertical asymmetry could be remarkably augmented by the positive current shear, while the limiting wave steepness was reduced. These results were clearly observed in the spatial wave profiles, but not in the time series of the surface displacement. DOI: 10.1061/(ASCE)0733-9399(2006)132:9(1015) CE Database subject headings: Transient flow; Shear waves; Asymmetry; Currents; Laboratory tests.

A fully nonhydrostatic model is tested by simulating a range of surface-wave motions, including linear dispersive waves, nonlinear Stokes waves, wave propagation over bottom topographies, and wave--current interaction. The model uses an efficient implicit method to solve the unsteady, three-dimensional, Navier-Stokes equations and the fully nonlinear free-surface boundary conditions. A new top-layer pressure treatment is incorporated to fully include the nonhydrostatic pressure effect. The model results are verified against either analytical solutions or experimental data. It is found that the model using a small number of vertical layers is capable of accurately simulating both the free-surface elevation and vertical flow structure. By further examining the model's performance of resolving wave dispersion and nonlinearity, the model's efficiency and accuracy are demonstrated. DOI: 10.1061/(ASCE)0733-9399(2006)132:4(447) CE Database subject headings: Surface waves; Nonlinear response; Wave dispersion; Wave propagation.

A nonhydrostatic model with a higher-order top-layer pressure treatment is developed. Accuracy with respect to linear wave dispersion and wave nonlinearity is carefully examined. The model is thereafter applied to simulate nonlinear deep-water wave groups. For slowly modulated wave groups, the model well predicts the characteristics of bichromatic waves better than those obtained by the fourth-order nonlinear Schrödinger equation and the multilayer Boussinesq model. For fast evolution of focusing wave groups, the model accurately captures the limiting extreme wave conditions. Particularly the predicted local wave steepness of a narrow-banded wave group is higher than that of a broad-banded wave group, supporting the importance of spectral bandwidth in determining the limiting wave condition in the previous study. Overall, the agreement between the model’s results and experimental data are excellent, demonstrating the capability of the model on resolving wave-wave interactions in the nonlinear deep-water wave groups. [ABSTRACT FROM AUTHOR]