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A more robust multiparameter conformal mapping method for geometry generation of any arbitrary ship section

Lookup NU author(s): Dr Ali BakhshandehrostamiORCiD

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This is the authors' accepted manuscript of an article that has been published in its final definitive form by Springer, 2014.

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Abstract

The central problem of strip theory is the calculation of potential flowaround 2D sections.One particularmethod of solutions to this problem is conformalmapping of the body section to the unit circle over which a solutionof potential flow is available. Here, a new multiparameter conformal mapping method is presented that can mapany arbitrary section onto a unit circle with good accuracy. The procedure for finding the corresponding mappingcoefficients is iterative. The suggested mapping technique is shown to be capable of appropriately mapping anychined, bulbous, and large and fine sections. Several examples of mapping symmetric and nonsymmetric sectionsare demonstrated. For symmetric and nonsymmetric sections, the results of the current method are comparedagainst other mapping techniques, and the currently produced geometries display good agreement with the actualgeometries.

Publication metadata

Author(s): Salehi M, Ghadimi P, Bakhshandehrostami A

Publication type: Article

Publication status: Published

Journal: Journal of Engineering Mathematics

Year: 2014

Volume: 89

Issue: 1

Pages: 113-136

Print publication date: 01/12/2014

Online publication date: 22/10/2014

Acceptance date: 20/05/2014

Date deposited: 12/07/2018

ISSN (print): 0022-0833

ISSN (electronic): 1573-2703

Publisher: Springer

URL: https://doi.org/10.1007/s10665-014-9711-8

DOI: 10.1007/s10665-014-9711-8

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