Integral representation of velocity in a~flow with separation simulated by a~vortex sheet
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 73-75.

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

The goal of this paper is to present a new integral operator that defines the velocity of a streamline flow in terms of the intensity of a free vortex sheet. This operator is important for numerical simulation of flows.
Keywords: separation flow, vortex sheet, integral operator.
@article{IVM_2009_6_a10,
     author = {R. R. Shagidullin},
     title = {Integral representation of velocity in a~flow with separation simulated by a~vortex sheet},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {73--75},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_6_a10/}
}
TY  - JOUR
AU  - R. R. Shagidullin
TI  - Integral representation of velocity in a~flow with separation simulated by a~vortex sheet
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2009
SP  - 73
EP  - 75
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2009_6_a10/
LA  - ru
ID  - IVM_2009_6_a10
ER  - 
%0 Journal Article
%A R. R. Shagidullin
%T Integral representation of velocity in a~flow with separation simulated by a~vortex sheet
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2009
%P 73-75
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2009_6_a10/
%G ru
%F IVM_2009_6_a10
R. R. Shagidullin. Integral representation of velocity in a~flow with separation simulated by a~vortex sheet. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 73-75. http://geodesic.mathdoc.fr/item/IVM_2009_6_a10/

[1] Alekseenko S. V., Kuibin P. A., Okulov V. L., Vvedenie v teoriyu kontsentrirovannykh vikhrei, Institut kompyuternykh issledovanii, M.–Izhevsk, 2005, 504 pp.

[2] Majda A. J., Bertozzi A. L., Vorticity and incompressible flow, Cambridge University Press, 2002, 550 pp. | MR | Zbl

[3] Gaier D., “Integralgleichungen erster Art und konforme Abbildungen”, Math. Z., 147 (1976), 113–129 | DOI | MR | Zbl

[4] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Fizmatgiz, M., 1958, 678 pp. | MR

[5] Shagidullin R. R., Chislennyi metod diskretnykh vikhrei, Uchebnoe posobie, Izd-vo KGU, Kazan, 1986, 108 pp. | Zbl