Computational Realisation of the Exact Solution of the Incompressible Flow Problem in a Double-Connected Domain.
Abstract:
As well known the solution of the incompressible flow problem in a double-connected domain can be expressed in the terms of the conformal map of a circular annulus to the flow domain (where the ratio of the radiuses of a circular annulus is equal to the conformal radius of the domain under investigation) and the elliptic functions of Weiherstrass with the rectangular of periods also defined by the conformal radius. For the domain of a general type the conformal map can be obtained only numerically. As for elliptic functions, the existing tables of them demand a lot of additional calculations and of the restricted use. In the paper an algorithm of the computation of elliptic functions is presented. Combining this algorithm, algorithm of conformal map and the exact representation we computed the aerodinamical characteristics of the flow around an elliptic profile near the ground under various angles of attack and investigated numerically the asymptotics of these characteristics as the distance to the ground tends to infinity.
Publication language:russian
Research direction:
Mathematical modelling in actual problems of science and technics
