Cebeci, Tuncer and Keller, Herbert B. (1971) Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equation. Journal of Computational Physics, 7 (2). pp. 289-300. ISSN 0021-9991. doi:10.1016/0021-9991(71)90090-8. https://resolver.caltech.edu/CaltechAUTHORS:20170801-160912525
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Abstract
We present three accurate and efficient numerical schemes for solving the Falkner-Skan equation with positive or negative wall shear. Newton's method is employed, with the aid of the variational equations, in all the schemes and yields quadratic convergence. First, ordinary shooting is used to solve for the case of positive wall shear. Then a nonlinear eigenvalue technique is introduced to solve the inverse problem in which the wall shear is prescribed and the pressure distribution is to be determined. With this approach the reverse flow solutions (i.e., negative wall shear) are obtained. Finally, a parallel shooting method is employed to reduce the sensitivity of the convergence of the iterations to the initial estimates.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1971 Published by Elsevier Inc. Received 9 July 1970. This work was partially supported by the U. S. Army Research Office, Duram, under Contract DAHC 04-68-C-0006. | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1016/0021-9991(71)90090-8 | |||||||||
| Record Number: | CaltechAUTHORS:20170801-160912525 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170801-160912525 | |||||||||
| Official Citation: | Tuncer Cebeci, Herbert B Keller, Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equation, Journal of Computational Physics, Volume 7, Issue 2, 1971, Pages 289-300, ISSN 0021-9991, http://dx.doi.org/10.1016/0021-9991(71)90090-8. (http://www.sciencedirect.com/science/article/pii/0021999171900908) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 79721 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 01 Aug 2017 23:15 | |||||||||
| Last Modified: | 15 Nov 2021 17:50 |
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