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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24499

Title: The Lie-Group Shooting Method for Steady-State Burgers Equation with High Reynolds Number
Authors: Chein-Shan LIU;Jiang-Ren CHANG;Chih-Wen CHANG
Contributors: NTOU:Department of Systems Engineering and Naval Architecture
Keywords: lie-group shooting method;burgers equation;singularly perturbed boundary value problem;one-step group preserving scheme
Date: 2006-07
Issue Date: 2011-10-20T08:12:31Z
Publisher: Journal of Hydrodynamics, Ser. B
Abstract: Abstract:The steady-state Burgers equation with high Reynolds number is a singularly perturbed boundary value problem. In order to depress the singularity we consider a coordinate transformation from the z-domain to the t-domain. Then we construct a very effective Lie-group shooting method to search a missing initial condition of slope through a weighting factor r ∈(0,1). Furthermore, a closed-form formula is derived to calculate the unknown slope in terms of r in a more refined range identified. Numerical examples were examined to show that the new approach has high efficiency and high accuracy.
Relation: 18(3), pp.367–372
URI: http://ntour.ntou.edu.tw/handle/987654321/24499
Appears in Collections:[系統工程暨造船學系] 期刊論文

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