Linear and nonlinear analysis of the numerical method for the calculation of convective flows

I. B. Palymskiy

Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 2, pp. 143-163.

Résumé

Spectral characteristics of the numerical method for calculation of convective flows are investigated. These characteristics are compared to spectral characteristics of the original differential problem. Nonlinear analysis of the numerical method is made on a model system of equations. The results of calculation of turbulent convection with the Rayleigh number up to 1350 critical values are presented. These results are compared to experimental data and numerical results obtained by other authors.

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