Establishment of a scheme stable in initial data to compute meteorological elements by means of solving thermohydrodynamic equations
By: S. V. Nemchinov and V. P. Sadokov
Abstract
The stability of prognostic schemes obtained by means of the solution of primitive equations is studied. Three possible schemes are examined among which only one scheme is stable in Richtmyer’s sense. The relationship between time step and grid step depends essentially on the least characteristic number λ1 of a matrix A as follows: Δt/Δs ⩽ √6·λ1. The order of the matrix A is equal to the number of levels considered in the prognostic sheme.
DOI: https://doi.org/10.3402/tellusa.v14i3.9550 | Journal eISSN: 3035-9554
Language: English
Page range: 253 - 260
Published on: Jan 1, 1962
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 1962 S. V. Nemchinov, V. P. Sadokov, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.