Geodesic
Second-order accurate method with splitting of boundary conditions for solving the stationary axially symmetric Navier–Stokes problem in spherical gaps
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2232-2250

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

A numerical method for solving the axisymmetric Dirichlet boundary value problem for the stationary incompressible Navier–Stokes system in spherical gaps is constructed by using the method of successive approximations and the second-order accurate finite-element implementation developed by the authors in the axisymmetric case for a fast converging iterative method with splitting of boundary conditions for the Stokes system in spherical gaps. Numerical experiments on exact solutions showed that the method is second-order accurate up to the axis of symmetry and the gap boundaries. A numerical study (on fine grids) is conducted to determine the convergence domain of the method, and its results are compared with available experimental data for spherical Couette flows driven by the rotation of a single sphere. The method proves to be highly efficient as applied to the computation of basic viscous incompressible flows in narrow spherical gaps. 
@article{ZVMMF_2005_45_12_a11,
     author = {B. V. Pal'tsev and I. I. Chechel'},
     title = {Second-order accurate method with splitting of boundary conditions for solving the stationary axially symmetric {Navier{\textendash}Stokes} problem in spherical gaps},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2232--2250},
     publisher = {mathdoc},
     volume = {45},
     number = {12},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a11/}
}
TY  - JOUR
AU  - B. V. Pal'tsev
AU  - I. I. Chechel'
TI  - Second-order accurate method with splitting of boundary conditions for solving the stationary axially symmetric Navier–Stokes problem in spherical gaps
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 2232
EP  - 2250
VL  - 45
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a11/
LA  - ru
ID  - ZVMMF_2005_45_12_a11
ER  - 
%0 Journal Article
%A B. V. Pal'tsev
%A I. I. Chechel'
%T Second-order accurate method with splitting of boundary conditions for solving the stationary axially symmetric Navier–Stokes problem in spherical gaps
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 2232-2250
%V 45
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a11/
%G ru
%F ZVMMF_2005_45_12_a11
B. V. Pal'tsev; I. I. Chechel'. Second-order accurate method with splitting of boundary conditions for solving the stationary axially symmetric Navier–Stokes problem in spherical gaps. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2232-2250. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a11/