Numerical aspects of the modeling problem for the general atmosphere circulation. (Russian) Zbl 0589.76055

Dymnikov, V. P.; Lykosov, V. N.

Vychisl. Protsessy Sist. 1, 20-53 (1983).

The model of atmosphere circulation is represented in the form of a system of six very complex partial differential equations. The system is transformed into symmetrized form by proper transformation of variables and by application of the integral conservation laws. Problems encountered in application of the finite-difference scheme for numerical solution of the transformed equations are discussed thoroughly. Optimal discretization net is chosen and the approximation of the differential equations by difference equations in space variables and the discrete form of conservation laws are presented. The method of separation according to physical processes and the geometrical variables is applied then.
Stability of the calculation algorithm is proved. The model is analyzed from the point of view of possible representation of its algorithms in the architecture of the computing device. Components of the model allowing the parallel computing are pointed out. In the conclusion the general features of the program pack for implementation of the mathematical models of atmosphere circulation are discussed. The pack is written in FORTRAN and designed for IBM and CRAY-1 computers.

Reviewer: I.Dvořák

MSC:

76E20	Stability and instability of geophysical and astrophysical flows
86A99	Geophysics
65N06	Finite difference methods for boundary value problems involving PDEs
68N25	Theory of operating systems
65N12	Stability and convergence of numerical methods for boundary value problems involving PDEs

Keywords:

atmosphere circulation; integral conservation laws; finite-difference scheme; numerical solution; Optimal discretization; discrete form of conservation laws; method of separation