Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001



Abstracts


Novosibirsk participants

Richardson's extrapolation in a problems of advective - diffusive transport.

Scherbakov A.V., Malakhova V.V., Eremeev F.A.

ICM&MG SB RAS (Novosibirsk)

At the global ocean climate simulation, when the advection dominates above diffusion, it is difficult to achieve a sufficient resolution to use symmetric differences for approximating advections. The applying upwind scheme with large computational viscosity, to be exact, computational diffusion, probably, results in a temperature trend, when the deep ocean temperature unreal slowly increases with time. For overcoming this problem it is offered to use Richardson's extrapolation at the base of up-wind scheme. Four difference problems with double grid step at every grid point is solving simultaneously in one iteration process, which one allows to receive a difference solution with the doubled grid step for all grid points. The effect of this approach illustrated on examples of a solution of two problems of advection and advective - diffusive transport.

Full Text in Russian: PDF (445 kb)
Note. Abstracts are published in author's edition



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