Conformal-mapping-based coordinate generation method for channel flows

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Original languageEnglish
Pages (from-to)229-245
Journal / PublicationJournal of Computational Physics
Issue number2
Publication statusPublished - Apr 1985
Externally publishedYes


A conformal-mapping-based coordinate generation method for channel-type configurations has been developed. A channel of an arbitrary shape in the physical plane is mapped into a straight channel in the computational plane. The parameters of the transformation 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. Results of the tests show higher-order accuracy of the method in the case of curved channels. © 1985.

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