Abstract
Numerical conformal mapping methods for regions with a periodic boundary have been developed. These methods are based on the generalized Schwarz-Christoffel equation and can deal with boundary curves of arbitrary forms, i.e., made up of one or more rectifiable Jordan curves. High-order quadrature rules have been implemented in order to increase accuracy of the mapping. This is of particular relevance to highly accurate grid generation techniques required by, for example, implementation of high-order compact finite-difference discretization schemes.
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