An investigation of linear transients associated with a time dependent bottom spiral
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Authors
Camp, Norman Thomas
Subjects
Ekman dynamics
Numerical model
Seiche
Shallow water flow
Storm surge
time dependent motioni
Numerical model
Seiche
Shallow water flow
Storm surge
time dependent motioni
Advisors
Galt, J. A.
Date of Issue
1972-03
Date
March 1972
Publisher
Language
eng
Abstract
Ekman's linear equations for time dependent flow (neglecting wind stress) are solved using a time dependent Green's function and the method suggested by Welander (1957). The solution represents the vertical velocity profile in terms of the local time history of the changes in sea surface elevation determined by the divergence of the flow in the vertically integrated continuity equation. A fully implicit finite-difference scheme is developed to represent a time dependent seiche oscillating across a shallow infinite channel. The transients associated with the formation of the bottom spiral are clearly represented by the model and the influence of friction and Coriolis are individually and collectively introduced. The model allows independent calculation of velocity, volume transport, sea surface elevation, bottom stress, and the total energy balance of the system. The numerical scheme provides a method for adequately describing and investigating certain classes o time dependent action, and its development suggests a mechanism for improving numerical prediction of storm surge.
Type
Thesis
Description
Series/Report No
Department
Oceanography
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.