Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. V. Alekseenko, P. A. Kuibin, and V. L. Okulov, Introduction to the Theory of Concentrated Vortices (Moscow-Izhevsk, Institute of Computer Investigations, 2005) [in Russian].
A. J. Majda and A. L. Bertozzi, Vorticity and Incompressible Flow (Cambridge University Press, 2002).
D. Gaier, “Integralgleichungen erster Art und konforme Abbildungen,” Math. Zeitschrift 147, 113–129 (1976).
M. A. Lavrent’ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable (Fizmatgiz, Moscow, 1958) [in Russian].
R. R. Shagidullin, A Numerical Method of Discreet Vortices. Tutorial (Kazansk. Gos. Univ., Kazan, 1986) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © R.R. Shagidullin, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 6, pp. 73–75.
About this article
Cite this article
Shagidullin, R.R. Integral representation of velocity in a flow with separation simulated by a vortex sheet. Russ Math. 53, 60–62 (2009). https://doi.org/10.3103/S1066369X09060115
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1066369X09060115