Abstract
In this study, a two-dimensional depth-integrated non-hydrostatic wave model is developed. The model solves the governing equations with hydrostatic and non-hydrostatic pressure separately. The velocities under hydrostatic pressure conditions are firstly obtained and then modified using the biconjugate gradient stabilized method. The hydrostatic front approximation (HFA) method is used to deal with the wave breaking issue, and after the wave breaks, the non-hydrostatic model is transformed into the hydrostatic shallow water model, where the non-hydrostatic pressure and vertical velocity are set to zero. Several analytical solutions and laboratory experiments are used to verify the accuracy and robustness of the developed model. In general, the numerical simulations are in good agreement with the theoretical or experimental results, which indicates that the model is able to simulate large-scale wave motions in practical engineering applications.
Highlights
IntroductionIn the past several decades, due to the rapid development of coastal zones as well as the occurrence of a large number of coastal natural disasters (such as wind storm and tsunami), the research on wave propagations in coastal areas has attracted more attention all over the world
In the past several decades, due to the rapid development of coastal zones as well as the occurrence of a large number of coastal natural disasters, the research on wave propagations in coastal areas has attracted more attention all over the world
A high-precision wave model can accurately predict the wave motions in the coastal areas, so as to effectively understand the change of coastal topography, protect coastal buildings and reduce the loss of life and property caused by coastal natural disasters
Summary
In the past several decades, due to the rapid development of coastal zones as well as the occurrence of a large number of coastal natural disasters (such as wind storm and tsunami), the research on wave propagations in coastal areas has attracted more attention all over the world. A high-precision wave model can accurately predict the wave motions in the coastal areas, so as to effectively understand the change of coastal topography, protect coastal buildings and reduce the loss of life and property caused by coastal natural disasters. It is, of great practical significance to establish a high-precision and accurate wave model. Since there are several high-order partial derivative terms included, the discretization of the BTEs is very complex, and the computational cost is expensive [8]. A semi-empirical method or additional terms may be needed to deal with the issue of wave breaking [10]
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