caa a22 4500 378857800 CHVBK 20180305123339.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0026 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0026 On Numerical Methods for a Boundary Layer on a Body of Revolution [Elektronische Daten] The flow of a viscous incompressible uid past a body of revolution with aparabolic profile when the stream is parallel to its axis falls into a class of problems that exhibit boundary layers. This problem does not have solutions in closed form, and is modeled by boundary-layer equations. Using a self-similar approach based on a Blasius series expansion (up to two terms), the boundary-layer equations can be reduced to a Blasius-type problem consisting of a system of three 3rd order ordinary differential equations on a semi-infinite interval. Numerical methods need to be employed to attain the solutions of these equations and their derivatives, which are required for the computation of the velocity components, on a finite domain with accuracy independent of the viscosity v, which can take arbitrary values from the interval (0; 1]. Numerical methods for which the accuracy of the velocity components depend on the number of mesh points N, used to solve the Blasius-type problem, and do not depend on the viscosity v, are referred to as robust methods. To construct a robust numerical method we reduce the original problem on a semi-infinite axis to a problem on the finite interval [0;K], where K = K(N) = lnN. Employing numerical experiments, we justify that the constructed numerical method is parameter robust. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. body of revolution nationallicence parameter robus nationallicence boundary layers nationallicence Hossain Bayezid Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland. Ansari Ali R. Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland. Shishkin Gregorii I. Institute of Mathematics and Mechanics, Russian Academy of Sciences, Ekaterinburg, Russia. Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 405-416 1609-4840 3:3<405 2003 3 cmam https://doi.org/10.2478/cmam-2003-0026 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0026 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hossain Bayezid Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland NATIONALLICENCE 700 1- Ansari Ali R. Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland NATIONALLICENCE 700 1- Shishkin Gregorii I. Institute of Mathematics and Mechanics, Russian Academy of Sciences, Ekaterinburg, Russia NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 405-416 1609-4840 3:3<405 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter