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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/23756

Title: A New Shooting Method for Solving Boundary Layer Equations in Fluid Mechanics
Authors: Chein-Shan Liu;Chih-Wen Chang;Jiang-Ren Chang
Contributors: NTOU:Department of Mechanical and Mechatronic Engineering
Keywords: One-step group preserving scheme;Falkner-Skan equation;Blasius equation;Boundary value problem;Lie-group shooting method;Estimation of missing initial condition.
Date: 2008
Issue Date: 2011-10-20T08:08:09Z
Publisher: CMES: Computer Modeling in Engineering & Sciences
Abstract: Abstract:In this paper, we propose a new method to tackle of two famous boundary layer equations in fluid mechanics, namely, the Falkner-Skan and the Blasius equations. We can employ this method to find unknown initial conditions. The pivotal point is based on the erection of a one-step Lie group element$\mathbf {G}(T)$ and the formation of a generalized mid-point Lie group element$\mathbf {G}(r)$. Then, by imposing$\mathbf {G}(T) = \mathbf {G}(r)$ we can seek the missing initial conditions through a minimum discrepancy from the target in terms of a weighting factor$r \in (0, 1)$. Numerical examples are worked out to persuade that this novel approach has good efficiency and accuracy with a fast convergence speed by searching$r$ with the minimum norm to fit two targets.
Relation: 32(1), pp.1-16
URI: http://ntour.ntou.edu.tw/handle/987654321/23756
Appears in Collections:[機械與機電工程學系] 期刊論文

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