Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Focusing of surface waves by variable bathymetry
Highlights ► In this study we consider surface wave scattering by underwater mounds. ► A mild slope approximation is used. ► A new domain integral equation solution approach is devised. ► Results compare well with experimental data. ► Focusing of waves over elliptical and lens shaped bathymetry is demonstrated.
Abstract Scattering of a monochromatic train of surface gravity waves incident on a finite region of arbitrary three-dimensional smoothly varying bathymetry is considered in this paper. The full three-dimensional linear water wave theory is approximated by the depth-averaged modified mild-slope equations and a Greens function approach is used to derive domain a integral equation for the function relating to the unknown surface over the varying bed. A simple but robust and effective numerical scheme is described to approximate solutions to the integral equation. The method is applied to bathymetries which exhibit focusing in the high-frequency ray-theory limit and used to illustrate that focusing occurs at finite wavelengths where both refractive and diffractive effects are included. Specifically, examples of elliptical and bi-convex lens bathymetries are considered.
Focusing of surface waves by variable bathymetry
Highlights ► In this study we consider surface wave scattering by underwater mounds. ► A mild slope approximation is used. ► A new domain integral equation solution approach is devised. ► Results compare well with experimental data. ► Focusing of waves over elliptical and lens shaped bathymetry is demonstrated.
Abstract Scattering of a monochromatic train of surface gravity waves incident on a finite region of arbitrary three-dimensional smoothly varying bathymetry is considered in this paper. The full three-dimensional linear water wave theory is approximated by the depth-averaged modified mild-slope equations and a Greens function approach is used to derive domain a integral equation for the function relating to the unknown surface over the varying bed. A simple but robust and effective numerical scheme is described to approximate solutions to the integral equation. The method is applied to bathymetries which exhibit focusing in the high-frequency ray-theory limit and used to illustrate that focusing occurs at finite wavelengths where both refractive and diffractive effects are included. Specifically, examples of elliptical and bi-convex lens bathymetries are considered.
Focusing of surface waves by variable bathymetry
Griffiths, L.S. (Autor:in) / Porter, R. (Autor:in)
Applied Ocean Research ; 34 ; 150-163
17.08.2011
14 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch