Geodesic
Solution of the matter transport problem at high Peclet numbers
Numerical methods and programming, Tome 18 (2017) no. 4, pp. 371-380.

Voir la notice de l'article provenant de la source Math-Net.Ru

The aim of this work is the development of a difference scheme for solving the convection-diffusion problem at high Peclet numbers (${\rm Pe}>2$). In accordance with this aim, a new difference scheme for convection is proposed and compared with several existing schemes and some stability conditions are formulated for the proposed scheme. The convection-diffusion equations are solved on the basis of this new difference scheme at various Peclet numbers.
Keywords: transport problem, Peclet number, CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) scheme, stability. 
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     author = {A. I. Sukhinov and Yu. V. Belova and A. E. Chistyakov},
     title = {Solution of the matter transport problem at high {Peclet} numbers},
     journal = {Numerical methods and programming},
     pages = {371--380},
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     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2017_18_4_a3/}
}
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A. I. Sukhinov; Yu. V. Belova; A. E. Chistyakov. Solution of the matter transport problem at high Peclet numbers. Numerical methods and programming, Tome 18 (2017) no. 4, pp. 371-380. http://geodesic.mathdoc.fr/item/VMP_2017_18_4_a3/