caa a22 4500 606166955 CHVBK 20210128100700.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10665-014-9746-x doi (NATIONALLICENCE)springer-10.1007/s10665-014-9746-x Numerical analysis of the external slow flows of a viscous fluid using the R-function method [Elektronische Daten] [S. Lamtyugova, M. Sidorov] In this paper the problem of calculating the external slow flow of viscous incompressible fluid past bodies of revolution is considered. A numerical method, based on the joint use of the R-function structural method of V.L. Rvachev for building the structure of the boundary-value problem solution and the Galerkin projection method for approximating the indeterminate components of the structure, is proposed for solving the problem. The problem of slow viscous incompressible fluid flow past an ellipsoid of revolution is numerically solved using the proposed approach to test the developed method. The solution obtained is compared with the known exact solution of the problem in question. In addition, the problems of flow past two touching spheres and past two joined ellipsoids are solved. Springer Science+Business Media Dordrecht, 2014 Stokes flow nationallicence The Galerkin method nationallicence The R-functions method nationallicence Viscous incompressible fluid nationallicence Lamtyugova S. Department of Applied Mathematics, Kharkiv National University of Radioelectronics, Lenina Av. 14, 61166, Kharkiv, Ukraine aut Sidorov M. Department of Applied Mathematics, Kharkiv National University of Radioelectronics, Lenina Av. 14, 61166, Kharkiv, Ukraine aut Journal of Engineering Mathematics Springer Netherlands 91/1(2015-04-01), 59-79 0022-0833 91:1<59 2015 91 10665 https://doi.org/10.1007/s10665-014-9746-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9746-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lamtyugova S. Department of Applied Mathematics, Kharkiv National University of Radioelectronics, Lenina Av. 14, 61166, Kharkiv, Ukraine aut NATIONALLICENCE 700 1- Sidorov M. Department of Applied Mathematics, Kharkiv National University of Radioelectronics, Lenina Av. 14, 61166, Kharkiv, Ukraine aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 91/1(2015-04-01), 59-79 0022-0833 91:1<59 2015 91 10665