Analysis of Defects and Harmonic Grid Generation in Domains with Angles and Cutouts
S. I. Bezrodnykh,
V. I. Vlasov
Abstract:A survey of works concerning difficulties associated with harmonic grid generation in plane domains with angles and cutouts is given, and some new results are presented. It is well known that harmonic grids produced by standard methods in domains with cutouts or reentrant angles (i.e., interior angles greater than π) may contain defects, such as self-overlappings or exit beyond the domain boundary. It is established that, near the vertex of a reentrant angle, these defects follow from the asymptotics construct… Show more
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