Mathematical modeling of the general circulation of the atmosphere and ocean
Abstract
Consideration is given to the construction of general circulation models of the atmosphere and ocean. Questions concerning the spectral distribution of energy components, global invariants, atmospheric instability, the stationary component of ocean thermodynamics, processes occurring on a subcellular scale and boundary layers taking part in heat, moisture and momentum transfer are discussed which must be addressed in model formulation. A three-dimensional general circulation model is then examined which may be realized at different levels of complexity. The numerical solution of model equations according to a finite-difference discretization scheme in the spatial variables and a combination of two types of splitting in the temporal coordinates is outlined, and results of a numerical experiment involving the calculation of simultaneous ocean and atmospheric circulation during winter in the Northern Hemisphere is presented.
- Publication:
-
In: Current problems in applied mathematics and mathematical modeling. (A83-25238 09-46) Novosibirsk
- Pub Date:
- 1982
- Bibcode:
- 1982cpam.book..116M
- Keywords:
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- Atmospheric Circulation;
- Atmospheric Models;
- Ocean Dynamics;
- Ocean Models;
- Finite Difference Theory;
- Mathematical Models;
- Spectral Energy Distribution;
- Thermodynamics;
- Three Dimensional Models;
- Geophysics