Geodesic
Method for minimizing the circuit diffusion in the numerical model of aerodynamics
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 79-84 Cet article a éte moissonné depuis la source Math-Net.Ru

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Through linearization of the trajectory of a fluid particle on a fragment corresponding to a difference cell, and as a result of natural variables associated with the trajectory of particles, as well as the use of the differences against the flow, the convective terms were approximated with minimization of the circuit or artificial diffusion. The test calculations confirm this result. It is shown that the proposed computational technique is suitable for use in conjunction with the method of simple iteration.
Mots-clés : convection-diffusion problem, natural variables
Keywords: differences against the flow, method of simple iteration, minimization of the circuit or artificial diffusion. 
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     author = {M. A. Bubenchikov},
     title = {Method for minimizing the circuit diffusion in the numerical model of aerodynamics},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {79--84},
     year = {2011},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2011_2_a9/}
}
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M. A. Bubenchikov. Method for minimizing the circuit diffusion in the numerical model of aerodynamics. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 79-84. http://geodesic.mathdoc.fr/item/VTGU_2011_2_a9/

[1] Patankar S., Chislennye metody resheniya zadach teploobmena i dinamiki zhidkosti, Energoatomizdat, M., 1984, 152 pp.

[2] De Vahl Davis G., Mallinson G. D., “False Diffusion in Numerical Fluid Mechanics”, School of Mech. and Ind. Eng., Univ. of New South Wales, Sydney, 1972

[3] Raithby G. D., “Skew upstream differencing schemes for problems involving fluid flow”, Computational Methods in Applied Mechanics and Engineering, 9:2 (1976), 153–164 | DOI | MR | Zbl

[4] Bubenchikov M. A., Ivanova I. A., “Raschet aerodinamiki tsiklonnoi kamery”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2011, no. 1(13), 67–73