ISSN:
0271-2091
Keywords:
incompressible Navier-Stokes equations
;
hydrostatic approximation
;
variational formulation
;
numerical method
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
In order to simulate geophysical general circulation processes, to simplify the governing equations of motion, often the vertical momentum equation of the Navier-Stokes equations is replaced by the hydrostatic approximation equation. The resulting equations are reformulated and a variational formulation of the linearized problem is derived. Iteration schemes are presented to solve this problem. A finite element method is discussed, as well as a finite difference method which is based on a grid that is often used in geophysical general circulation models. The schemes are extended to the non-linear case. Numerical examples are presented to demonstrate the performance of the derived iteration schemes.
Additional Material:
6 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650210703
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