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The Lie-group shooting method for boundary layer equations in fluid mechanics by Chih-Wen CHANG; Jiang-Ren CHANG; Chein-Shan LIU is a Engineering article available to read on EtoBox.

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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 . 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. 1) , 0

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Author

Chih-Wen CHANG; Jiang-Ren CHANG; Chein-Shan LIU

Publisher

Springer-Verlag; Chinese Ocean Press; Springer Science and Business Media LLC (ISSN 1001-6058)

Published

2006

Language

EN

Field

Engineering (Physical Sciences)