New Perspectives in Fluid Dynamics 2015
DOI: 10.5772/61866
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Modeling of Wave Propagation from Arbitrary Depths to Shallow Waters – A Review

Abstract: Numerical models are a useful instrument for studying complex superposition of wave-wave and wave-current interactions in coastal and estuarine regions and to investigate the interaction of waves with complex bathymetries or structures built in nearshore areas. Moreover, since their applications are significantly less expensive and more flexible than the construction of physical models, they are a convenient tool to support design. The ability of the standard "oussinesq and Serre or Green and Naghdi equations … Show more

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“…where η is the free surface elevation; ξ represents bathymetry; u, v, and w are velocity components; and p is the pressure. After some mathematical developments, the following dimensionless equations of motion are obtained in the second approach (order 2 in σ, σ 2 ) [33,34]:…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…where η is the free surface elevation; ξ represents bathymetry; u, v, and w are velocity components; and p is the pressure. After some mathematical developments, the following dimensionless equations of motion are obtained in the second approach (order 2 in σ, σ 2 ) [33,34]:…”
Section: Mathematical Formulationmentioning
confidence: 99%