Geodesic
An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary Navier–Stokes system using complex analysis techniques
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2251-2259

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

A new method is examined for the construction of approximate solutions to boundary value problems for the Navier–Stokes equations, which describe plane stationary flows of a viscous incompressible fluid. The method is based on the use of the complex form of the original equations and on the representation of the unknown complex-valued functions and the corresponding conjugate functions by their expansions in powers of the conjugate independent variable, the coefficients being holomorphic functions. A method of partitioning into analytic elements with subsequent sewing is proposed. The use of this method makes it possible to construct approximate solutions in domains with a fairly complicated configuration. As an illustration, the numerical results are given for the flow in a canal with a notch. 
@article{ZVMMF_2005_45_12_a12,
     author = {A. I. Alexandrovich and M. B. Soloviev},
     title = {An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary {Navier{\textendash}Stokes} system using complex analysis techniques},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2251--2259},
     publisher = {mathdoc},
     volume = {45},
     number = {12},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a12/}
}
TY  - JOUR
AU  - A. I. Alexandrovich
AU  - M. B. Soloviev
TI  - An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary Navier–Stokes system using complex analysis techniques
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2005
SP  - 2251
EP  - 2259
VL  - 45
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a12/
LA  - ru
ID  - ZVMMF_2005_45_12_a12
ER  - 
%0 Journal Article
%A A. I. Alexandrovich
%A M. B. Soloviev
%T An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary Navier–Stokes system using complex analysis techniques
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2005
%P 2251-2259
%V 45
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a12/
%G ru
%F ZVMMF_2005_45_12_a12
A. I. Alexandrovich; M. B. Soloviev. An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary Navier–Stokes system using complex analysis techniques. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2251-2259. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a12/