Geodesic
Mathematical Modeling of Dry Gas Dynamic Seals
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 158-166

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A quasi-three-dimensional thermo-elastic gas dynamic mathematical model of dry gas dynamic seals is developed. A way of its discretization based on finite element method is proposed. An efficient iterative method for solving the corresponding finite-dimensional nonlinear problem is constructed. The results of the parametric calculations, which demonstrate the potential of the developed program complex, are presented.
Keywords: gas dynamic seals, mathematical model, finite element method, iterative methods. 
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     author = {R. Z. Dautov and M. M. Karchevsky and E. A. Novikov and E. M. Fedotov and V. K. Khaisanov},
     title = {Mathematical {Modeling} of {Dry} {Gas} {Dynamic} {Seals}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {158--166},
     publisher = {mathdoc},
     volume = {155},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a13/}
}
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R. Z. Dautov; M. M. Karchevsky; E. A. Novikov; E. M. Fedotov; V. K. Khaisanov. Mathematical Modeling of Dry Gas Dynamic Seals. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 158-166. http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a13/