Green-Naghdi theory, part A: Green-Naghdi (GN) equations for shallow water waves |
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| Authors: | William C Webster Wenyang Duan Binbin Zhao |
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| Institution: | William C. Webster1,Wenyang Duan2 and Binbin Zhao2 1. Department of Civil & Environmental Engineering,University of California,Berkeley CA 94720-1710,USA 2. College of Shipbuilding Engineering,Harbin Engineering University,150001 Harbin,China |
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| Abstract: | In this work,Green-Naghdi (GN) equations with general weight functions were derived in a simple way. A wave-absorbing beach was also considered in the general GN equations. A numerical solution for a level higher than 4 was not feasible in the past with the original GN equations. The GN equations for shallow water waves were simplified here, which make the application of high level (higher than 4) equations feasible. The linear dispersion relationships of the first seven levels were presented. The accuracy ... |
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| Keywords: | Green-Naghdi(GN)equations dispersion relation wave-absorbing beach shallow-water waves |
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