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.
Numerical conformal mapping and mesh generation for polygonal and multiply-connected regions
B. Lin, S. N. Chandler-Wilde; Numerical conformal mapping and mesh generation for polygonal and multiply-connected regions. Journal of Hydroinformatics 1 October 2000; 2 (4): 255–267. doi: https://doi.org/10.2166/hydro.2000.0023
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