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Analytical solutions for forced long waves on a sloping beach

Synolakis Kostas, Patrick Lynett, L. Philip, F. liu

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URIhttp://purl.tuc.gr/dl/dias/2F3FCF6A-49EF-4345-9592-0CF6C2C3C88E-
Identifierhttps://doi.org/10.1017/S0022112002003385-
Languageen-
Extent9 pagesen
TitleAnalytical solutions for forced long waves on a sloping beachen
CreatorSynolakis Kostasen
CreatorΣυνολακης Κωσταςel
CreatorPatrick Lynetten
CreatorL. Philipen
CreatorF. liuen
Content SummaryWe derive analytic solutions for the forced linear shallow water equation of the following form: partial derivative(2)y/partial derivativet(2) - b partial derivative/partial derivativex (xpartial derivativeY/partial derivativex) - partial derivative(2)f/partial derivativet(2) for x > 0, in which Y(x, t) denotes an unknown variable, f (x, t) a prescribed forcing function and b a positive constant. This equation has been used to describe landslide-generated tsunamis and also long waves induced by moving atmospheric pressure distributions. We discuss particular and general solutions. We then compare our results with numerical solutions of the same equation and with the corresponding solutions of the nonlinear depth-integrated equations and discuss them in terms of landslide-generated tsunamis. en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-10-
Date of Publication2003-
SubjectWaves, Seismicen
Subjectseismic wavesen
Subjectwaves seismicen
Bibliographic CitationL. Philip ,F. Liu, P. Lynett, C. E. Synolakis, " Analytical solutions for forced long waves on a sloping beach, : J.l of Fluid Mech., vol. 478,pp. 101–109.2003.doi:10.1017/S0022112002003385en

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