Stability and Convergence Studies on a Numerical Model of the Arctic Ocean.

Complete solutions to the equations of motion are possible using numerical schemes. The model developed by Galt (1972) was investigated for stability and convergence. A series of runs indicated that the scheme, the three level Adams-Bashforth method for the new value of vorticity and then the succes...

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Bibliographic Details
Main Author: Willems,Robert Cecil
Other Authors: NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
Format: Text
Language:English
Published: 1972
Subjects:
Physical and Dynamic Oceanography
(*OCEAN CURRENTS
EQUATIONS OF MOTION)
(*ARCTIC OCEAN
MATHEMATICAL MODELS)
OCEAN WAVES
DIFFERENCE EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
VORTICES
WIND
STRESSES
CORIOLIS EFFECT
STABILITY
CURVE FITTING
NUMERICAL ANALYSIS
THESES
AIR WATER INTERACTIONS
ROSSBY WAVES
FINITE DIFFERENCE THEORY
Arctic
Arctic Ocean
Online Access:http://www.dtic.mil/docs/citations/AD0745182
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=AD0745182
Description
Summary:Complete solutions to the equations of motion are possible using numerical schemes. The model developed by Galt (1972) was investigated for stability and convergence. A series of runs indicated that the scheme, the three level Adams-Bashforth method for the new value of vorticity and then the successive over-relaxation method for the stream function, was stable for transport not exceeding 100 Sverdrups and a time step of one-half pendulum day. Convergence was determined by comparisons, with known analytic solutions, of phase velocity of Rossby waves, and for the steady state conditions, patterns of the stream function and the vorticity. Improved accuracy of the model was attained by using a finer grid. (Author)

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