Derivation of a two-layer non-hydrostatic shallow water model Ye, Feng en_US 2012-02-03T21:35:13Z 2012-02-03T21:35:13Z 1995-08 en_US
dc.description Thesis (M. S.)--University of Hawaii at Manoa, 1995. en_US
dc.description Includes bibliographical references (leaves 55-59). en_US
dc.description UHM: Has both book and microform. en_US
dc.description.abstract A theoretical non-hydrostatic model is developed to describe the dynamics of a two-layer shallow water system in the presence of viscous and Coriolis effects. The Navier-Stokes equations are integrated over the water depth in each layer to obtain the layer-mean equations. To close the resulting equation set, perturbation expansions of the vertical momentum equation are used and the dynamic pressures are solved in terms of wave elevations and horizontal velocities. A preliminary analysis is also carried out and a result for the quasigeostrophic problems is given based on an previous study. Our final model is of the Bousinesq class which is nonlinear and dispersive, and includes the effects of surface wind stress, bottom friction, eddy diffusion and earth rotation. It is shown that our new model can be readily reduced to previous inviscid non-hydrostatic models. Our model can be used in numerical simulations to study real ocean problems such as hurricane generated waves, tidal induced current, and interactions among surface waves, internal waves and variable topographies. en_US
dc.description.sponsorship U.S. Geological Survey; project no. 06; grant agreement no. 14-08-0001-G2015 en_US
dc.format.extent x + 59 pages en_US
dc.identifier.citation Feng Y. 1995. Derivation of a two-layer non-hydrostatic shallow water model. Honolulu (HI): Water Resources Research Center, University of Hawaii at Manoa. WRRC unedited report, 95-03. en_US
dc.language.iso en-US en_US
dc.publisher Water Resources Research Center, University of Hawaii at Manoa en_US
dc.relation Theses for the degree of Master of Science (University of Hawaii at Manoa). Civil Engineering; no. 3088 en_US
dc.relation.ispartofseries WRRC Unedited Reports. en_US
dc.relation.ispartofseries 95-03 en_US
dc.rights All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner. en_US
dc.subject.lcsh Fluid dynamics—Mathematical models. en_US
dc.subject.lcsh Hydrodynamics--Mathematical models. en_US
dc.title Derivation of a two-layer non-hydrostatic shallow water model en_US
dc.type Thesis en_US
dc.type.dcmi Text en_US
local.identifier.callnumber Q111 .H3 no.3088 en_US