ON THE BOUNDARY CONDITIONS FOR NAVIER-STOKES EQUATIONS IN STREAM FUNCTION-VORTICITY VARIABLES IN SIMULATION OF A FLOW AROUND A SYSTEM OF BODIES
A. B. Mazoa and R. Z. Dautovb UDC 532.516 A method of determining the boundary conditions for the Navier-Stokes equations in stream function-vorticity variables, used for simulation of a nonstationary, asymmetric laminar flow of an incompressible viscous fluid around bodies, has been proposed. Universal relations for desired functions on surfaces around which the stream flows, independent of the method of spatial discretization, have been obtained. a Institute of Mechanics and Machine Building, Kazan' Scientific Center, Russian Academy of Sciences, 2/31 Lobachevskii Str., Kazan', 420111, Russia; email: amazo@ksu.ru; b Kazan' State University, 17 Universitetskaya Str., Kazan', 420008, Russia; email: rdautov@ksu.ru. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 78, No. 4, pp. 136-142, July-August, 2005. Original article submitted March 16, 2004.