Refraction And Diffraction Of Nonlinear Waves: Green- Naghdi Equations

Sundararaghavan, H.; Ertekin, R. C.

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The NOAA IR serves as an archival repository of NOAA-published products including scientific findings, journal articles, guidelines, recommendations, or other information authored or co-authored by NOAA or funded partners. As a repository, the NOAA IR retains documents in their original published format to ensure public access to scientific information.

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Refraction And Diffraction Of Nonlinear Waves: Green- Naghdi Equations

1999
By Sundararaghavan, H. ; Ertekin, R. C.

[PDF-1.94 MB]

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Personal Author:

Sundararaghavan, H. ; Ertekin, R. C.

Sundararaghavan, H. ; Ertekin, R. C. Less -
Corporate Authors:

University of Hawaii at Manoa. Sea Grant College Program ; School of Ocean and Earth Science and Technology (SOEST)

University of Hawaii at Manoa. Sea Grant College Program ; School of Ocean and Earth Science and Technology (SOEST) Less -
NOAA Program & Office:

Sea Grant ; OAR (Oceanic and Atmospheric Research)

Sea Grant ; OAR (Oceanic and Atmospheric Research) Less -
Sea Grant Program:

HAWAU (Hawaii Sea Grant)
Description:

The Green-Naghi equations are shallow water equations that can be solved to predict the nonlinear-effects of water waves propagating in shallow waters. In this study, the authors derive the Green-Naghdi equations for variable bathymetry and formulate the numerical model as a boundary- value problem. A finite-difference model, in conjunction with grid-generation, is developed to solve the Green- Naghdi equations. Nonlinear wave propagation over a varying bathymetry is presented for solitary and cnoidal waves.
Keywords:

[+]

Mathematical Models Nonlinear Wave Equations Nonlinear Waves Waves
Format:

PDF
Sea Grant Document Number:

HAWAU-T-99-003
Document Type:

Technical Report
Funding:

Grant no. NA36RG0507
License:

https://creativecommons.org/publicdomain/zero/1.0/
Rights Information:

Public Domain
Compliance:

Library
Main Document Checksum:

[+]

urn:sha256:88cb6159fea1281bd3f1229f73ddb34beb400455e482dccec7791841a1acc838
Download URL:

https://repository.library.noaa.gov/view/noaa/35704/noaa_35704_DS1.pdf
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Refraction And Diffraction Of Nonlinear Waves: Green- Naghdi Equations

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