Geodesic
Analog of kinetically consistent schemes for simulation of a filtration problem
Matematičeskoe modelirovanie, Tome 14 (2002) no. 10, pp. 69-76.

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

A new filtration model is proposed. It is derived using the experience of constructing the kinetically consistent difference schemes and the quasy gas dynamics system of equations. The equation of continuity is modified taking into account the reference scale of averaging at which the microstructure of a filtration medium is unessential. Test predictions based on the new model are presented. 
@article{MM_2002_14_10_a5,
     author = {M. A. Trapeznikova and M. S. Belotserkovska and B. N. Chetverushkin},
     title = {Analog of kinetically consistent schemes for simulation of a filtration problem},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {69--76},
     publisher = {mathdoc},
     volume = {14},
     number = {10},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_10_a5/}
}
TY  - JOUR
AU  - M. A. Trapeznikova
AU  - M. S. Belotserkovska
AU  - B. N. Chetverushkin
TI  - Analog of kinetically consistent schemes for simulation of a filtration problem
JO  - Matematičeskoe modelirovanie
PY  - 2002
SP  - 69
EP  - 76
VL  - 14
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2002_14_10_a5/
LA  - ru
ID  - MM_2002_14_10_a5
ER  - 
%0 Journal Article
%A M. A. Trapeznikova
%A M. S. Belotserkovska
%A B. N. Chetverushkin
%T Analog of kinetically consistent schemes for simulation of a filtration problem
%J Matematičeskoe modelirovanie
%D 2002
%P 69-76
%V 14
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2002_14_10_a5/
%G ru
%F MM_2002_14_10_a5
M. A. Trapeznikova; M. S. Belotserkovska; B. N. Chetverushkin. Analog of kinetically consistent schemes for simulation of a filtration problem. Matematičeskoe modelirovanie, Tome 14 (2002) no. 10, pp. 69-76. http://geodesic.mathdoc.fr/item/MM_2002_14_10_a5/

[1] K. S. Basniev, I. N. Kochina, V. M. Maksimov, Podzemnaya gidromekhanika, Nedra, M., 1993

[2] N. S. Bakhvalov, G. P. Papasepko, Osrednenie protsessov v periodicheskikh sredakh, Nauka, M., 1984 | MR | Zbl

[3] B. N. Chetverushkin, Kineticheski-soglasovannye skhemy v gazovoi dinamike: novaya model vyazkogo gaza, algoritmy, parallelnaya realizatsiya, prilozheniya, izd. MGU, M., 1999

[4] Dzh. Girshfeltser, Ch. Kertis, R. Berd, Molekulyarnaya teoriya gazov i zhidkostei, IL, M., 1961

[5] L. V. Dorodnitsyn, B. N. Chetverushkin, N. G. Churbanova, “Kineticheski-soglasovannye raznostnye skhemy i kvazigazodinamicheskaya sistema dlya modelirovaniya techenii plotnykh gazov i zhidkostei”, Matem. modelirovanie, 13:4 (2001), 47–57 | MR | Zbl