Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 57-61 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A mathematical model for viscous gas flow simulation with time scales bounded by the characteristic time between molecular collisions is considered. This approach is a variant of the quasi-gasdynamic system of equations, which is based on the relationship between the kinetic and macroscopic descriptions of continuous medium motion. Based on the presented model, a numerical algorithm is constructed for modeling viscous compressible gas flows. As an example, the algorithm is used to study some features of inhomogeneous flow around a blunt body.
Mots-clés : quasi-gasdynamic system of equations
Keywords: finite volume method, explicit difference scheme, supersonic flow.
@article{DANMA_2020_493_a11,
     author = {A. E. Lutsky and B. N. Chetverushkin},
     title = {Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {57--61},
     year = {2020},
     volume = {493},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_493_a11/}
}
TY  - JOUR
AU  - A. E. Lutsky
AU  - B. N. Chetverushkin
TI  - Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation
JO  - Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
PY  - 2020
SP  - 57
EP  - 61
VL  - 493
UR  - http://geodesic.mathdoc.fr/item/DANMA_2020_493_a11/
LA  - ru
ID  - DANMA_2020_493_a11
ER  - 
%0 Journal Article
%A A. E. Lutsky
%A B. N. Chetverushkin
%T Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation
%J Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
%D 2020
%P 57-61
%V 493
%U http://geodesic.mathdoc.fr/item/DANMA_2020_493_a11/
%G ru
%F DANMA_2020_493_a11
A. E. Lutsky; B. N. Chetverushkin. Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 57-61. http://geodesic.mathdoc.fr/item/DANMA_2020_493_a11/

[1] Chetverushkin B.N., Kinetic Schemes and Quasi-Gas Dynamic System of Equations, CIMNE, Barcelona, 2008, 298 pp. | MR

[2] Chapman S., Cowling T.G., The Mathematical Theory of Non-Uniform Gases, 3rd edition, Cambridge University Press, Cambridge etc., 1990 | MR

[3] Cercignani C., Mathematical Methods in Kinetic Theory, Springer US, 1969 | MR

[4] Chetverushkin B.N., Savelev A.V., Savelev V.I., “Kvazigazodinamicheskaya model dlya opisaniya magnitogazodinamicheskikh yavlenii”, ZhVMiMF, 58:8 (2018), 1384–1394 | Zbl

[5] Ivakhnenko I.A., Polyakov S.V., Chetverushkin B.N., “Kvazigidrodinamicheskaya model i melkomasshtabnaya turbulentnost”, Matem. modelirovanie, 20:2 (2008), 13–20 | MR | Zbl

[6] Allmaras S.R., Johnson F.T., Spalart P.R., “Modifications and Clarifications for the Implementation of the Spalart-Allmaras Turbulence Model”, Seventh International Conference on CFD (ICCFD7) (Big Island, Hawaii, 9-13 July, 2012)

[7] Petrov K.P., Aerodinamika transportnykh kosmicheskikh sistem, Editorial URSS, M., 2000, 368 pp.

[8] Azarova O.A., “Supersonic Flow Control Using Combined Energy Deposition”, Aerospace, 2 (2015), 118–134 | DOI