Numerical conformal mapping and mesh generation for polygonal and multiply-connected regions | Zendy

Binliang Lin | Zendy; Simon N. ChandlerWilde | Zendy

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Numerical conformal mapping and mesh generation for polygonal and multiply-connected regions

Author(s) -

Binliang Lin,

Simon N. ChandlerWilde

Publication year - 2000

Publication title -

journal of hydroinformatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.654

H-Index - 50

eISSN - 1465-1734

pISSN - 1464-7141

DOI - 10.2166/hydro.2000.0023

Subject(s) - curvilinear coordinates , conformal map , polygon mesh , boundary (topology) , mathematics , geometry , cauchy distribution , mesh generation , curvature , numerical analysis , mathematical analysis , finite element method , physics , thermodynamics

Details are given of a boundary-fitted mesh generation method for use in modelling free surface flow and water quality. A numerical method has been developed for generating conformal meshes for curvilinear polygonal and multiply-connected regions. The method is based on the Cauchy-Riemann conditions for the analytic function and is able to map a curvilinear polygonal region directly onto a regular polygonal region, with horizontal and vertical sides. A set of equations have been derived for determining the lengths of these sides and the least-squares method has been used in solving the equations. Several numerical examples are presented to illustrate the method.

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