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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24497

Title: The Lie-Group Shooting Method for Boundary Layer Equations in Fluid Mechanics
Authors: Chih-Wen CHANG;Jiang-Ren CHANG;Chein-Shan LIU
Contributors: NTOU:Department of Systems Engineering and Naval Architecture
Keywords: One-step group preserving scheme;Falkner-Skan equation;Blasius equation;boundary value problem;Lie-group shooting method;estimation of missing initial condition
Date: 2006-07
Issue Date: 2011-10-20T08:12:31Z
Publisher: Conference of Global Chinese Scholars on Hydrodynamics
Abstract: Abstract:In this paper, we propose a Lie-group shooting method to tackle 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 G(T) and the formation of a generalized mid-point Lie group element G(r). Then, by imposing G(T) = G(r) we can seek the missing initial conditions through a minimum discrepancy of the target in terms of the weighting factor r ɛ (0,1). It is the first time that we can apply the Lie-group shooting method to solve the boundary layer equations. 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: 18(3), pp.103–108
URI: http://ntour.ntou.edu.tw/handle/987654321/24497
Appears in Collections:[系統工程暨造船學系] 期刊論文

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