Geodesic
Slow nonisothermal flows: Numerical and asymptotic analysis of the Boltzmann equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1205-1229

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

Slow flows of a slightly rarefied gas under high thermal stresses are considered. The correct fluid-dynamic description of this class of flows is based on the Kogan–Galkin–Friedlander equations, containing some non-Navier–Stokes terms in the momentum equation. Appropriate boundary conditions are determined from the asymptotic analysis of the Knudsen layer on the basis of the Boltzmann equation. Boundary conditions up to the second order of the Knudsen number are studied. Some two-dimensional examples are examined for the comparative analysis. The fluid-dynamic results are supported by numerical solution of the Boltzmann equation obtained by the Tcheremissine's projection-interpolation discrete-velocity method extended for nonuniform grids. The competition pattern between the first- and the second-order nonlinear thermal-stress flows has been obtained for the first time. 
@article{ZVMMF_2017_57_7_a11,
     author = {O. A. Rogozin},
     title = {Slow nonisothermal flows: {Numerical} and asymptotic analysis of the {Boltzmann} equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1205--1229},
     publisher = {mathdoc},
     volume = {57},
     number = {7},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a11/}
}
TY  - JOUR
AU  - O. A. Rogozin
TI  - Slow nonisothermal flows: Numerical and asymptotic analysis of the Boltzmann equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2017
SP  - 1205
EP  - 1229
VL  - 57
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a11/
LA  - ru
ID  - ZVMMF_2017_57_7_a11
ER  - 
%0 Journal Article
%A O. A. Rogozin
%T Slow nonisothermal flows: Numerical and asymptotic analysis of the Boltzmann equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2017
%P 1205-1229
%V 57
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a11/
%G ru
%F ZVMMF_2017_57_7_a11
O. A. Rogozin. Slow nonisothermal flows: Numerical and asymptotic analysis of the Boltzmann equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1205-1229. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a11/