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dc.contributor.authorGeorge, Jithin
dc.contributor.authorKetcheson, David I.
dc.contributor.authorLeVeque, Randall J.
dc.date.accessioned2019-11-21T13:57:41Z
dc.date.available2019-11-13T00:34:19Z
dc.date.available2019-11-21T13:57:41Z
dc.date.issued2019-09-09
dc.identifier.citationGeorge, J., Ketcheson, D. I., & LeVeque, R. J. (2019). Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green’s Law. Pure and Applied Geophysics. doi:10.1007/s00024-019-02316-y
dc.identifier.doi10.1007/s00024-019-02316-y
dc.identifier.urihttp://hdl.handle.net/10754/659991
dc.description.abstractThe propagation of long waves onto a continental shelf is of great interest in tsunami modeling and other applications where understanding the amplification of waves during shoaling is important. When the linearized shallow water equations are solved with the continental shelf modeled as a sharp discontinuity, the ratio of the amplitudes is given by the transmission coefficient. On the other hand, when the slope is very broad relative to the wavelength of the incoming wave, then amplification is governed by Green’s Law, which predicts a larger amplification than the transmission coefficient, and a much smaller amplitude reflection than given by the reflection coefficient of a sharp interface. We explore the relation between these results and elucidate the behavior in the intermediate case of a very steep continental shelf.
dc.description.sponsorshipThe authors are grateful to Avi Schwarzschild for stimulating discussions in the early phase of this project.
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s00024-019-02316-y
dc.relation.urlhttps://repository.kaust.edu.sa/bitstream/10754/659991/1/Preprint%20file%201.pdf
dc.rightsArchived with thanks to Pure and Applied Geophysics
dc.subjectShoaling
dc.subjecttsunamis
dc.subjectGreen’s Law
dc.subjectreflection
dc.subjecttransmission
dc.subjectcontinental shelf
dc.titleShoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green’s Law
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalPure and Applied Geophysics
dc.rights.embargodate2020-01-01
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, USA
dc.contributor.institutionDepartment of Applied Mathematics, University of Washington, Seattle, WA, 98195-3925, USA
dc.identifier.arxivid1901.04148
kaust.personKetcheson, David I.
refterms.dateFOA2019-11-13T00:35:00Z
dc.date.published-online2019-09-09
dc.date.published-print2020-03
dc.date.posted2019-01-14


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