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Titel 2D Propagation of Water Waves in the Presence of Vorticity
VerfasserIn Julien Touboul, Kostas Belibassakis, Vincent Rey
Konferenz EGU General Assembly 2015
Medientyp Artikel
Sprache Englisch
Digitales Dokument PDF
Erschienen In: GRA - Volume 17 (2015)
Datensatznummer 250104168
Publikation (Nr.) Volltext-Dokument vorhandenEGU/EGU2015-3592.pdf
 
Zusammenfassung
Propagation of water waves in coastal zones is mainly affected by the influence of currents and bathymetry variations. A linear, elliptic equation allowing to describe the propagation of water waves in arbitrary, slowly varying, currents and bathymetry, was initially derived by Kirby (1984). His approach was based on the linearization of the depth integrated lagrangian, assuming the current profile not to depend on depth. In this work, we derive a linear equation, extending Kirby’s approach to currents varying linearly with depth. A numerical study is developped, aiming to demonstrate the influence of the vorticity on propagation. Both one and two dimensional cases of propagation are considered, and discussed. ACKNOWLEDGEMENTS: The DGA (Direction Générale de l’Armement, France) is acknowledged for its financial support through the ANR grant N° ANR-13-ASTR-0007.