On Numerical Methods for a Boundary Layer on a Body of Revolution
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| 245 | 0 | 0 | |a On Numerical Methods for a Boundary Layer on a Body of Revolution |h [Elektronische Daten] |
| 520 | 3 | |a 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. | |
| 540 | |a 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. | ||
| 690 | 7 | |a body of revolution |2 nationallicence | |
| 690 | 7 | |a parameter robus |2 nationallicence | |
| 690 | 7 | |a boundary layers |2 nationallicence | |
| 700 | 1 | |a Hossain |D Bayezid |u Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland. | |
| 700 | 1 | |a Ansari |D Ali R. |u Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland. | |
| 700 | 1 | |a Shishkin |D Gregorii I. |u Institute of Mathematics and Mechanics, Russian Academy of Sciences, Ekaterinburg, Russia. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/3(2003), 405-416 |x 1609-4840 |q 3:3<405 |1 2003 |2 3 |o cmam | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0026 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hossain |D Bayezid |u Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ansari |D Ali R. |u Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Shishkin |D Gregorii I. |u Institute of Mathematics and Mechanics, Russian Academy of Sciences, Ekaterinburg, Russia | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/3(2003), 405-416 |x 1609-4840 |q 3:3<405 |1 2003 |2 3 |o cmam | ||
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