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

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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. 
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     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/}
}
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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/