On generation of orthogonal grids

摘要

This study concerns some problems of generation of orthogonal grids. The use of scaled Laplace equations is analyzed and the problems related to their application are discussed. The issues of existence and orthogonality of mappings are studied and some analytical examples showing inconsistency of scaled Laplace equations with orthogonality requirements are constructed. Finally, a simple algorithm for generating the orthogonal mappings based on decoupled form of equations is presented.