Conformal-mapping- based coordinate generation method for flows in periodic configurations

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Original languageEnglish
Pages (from-to)221-247
Journal / PublicationJournal of Computational Physics
Issue number1
Publication statusPublished - Jan 1986
Externally publishedYes


A conformal-mapping-based coordinate generation method for periodic configurations has been developed. A channel of an arbitrary shape in the physical plane, representing internal configurations, is mapped into a straight channel in the computational plane; and a wall of an arbitrary shape in the physical plane, representing external configurations, is mapped into a straight wall in the computational plane. The parameters of the transformations have to be determined through a method of successive approximations. A simple iteration scheme, that converges quite rapidly even with a poor initial guess, is presented. Solutions for different configurations are displayed to illustrate the capabilities of the method. © 1986.

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