Chumakov, Gennadij; Chumakov, Sergei G. Harmonic parametrization of geodesic quadrangles on surfaces of constant curvature and 2-D quasi-isometric grids. (English) Zbl 0912.65126 Electron. J. Differ. Equ. 1997, Conf. 01, 55-79 (1997). This paper deals with a method for the generation of quasi-isometric boundary-fitted curvilinear coordinates for arbitrary domains. An approach on the basis of the quasi-isometric mappings theory and conformal representation of spherical and hyperbolic geometries is presented. The authors use a new technique for finding the geodesic quadrangle with given angles and a conformal module on the surface of constant curvature, which makes the method robust. Illustrations of this techniques are presented for the case of one-element airfoil and several test domains. Reviewer: P.ChocholatĂ˝ (Bratislava) Cited in 1 Document MSC: 65D18 Numerical aspects of computer graphics, image analysis, and computational geometry 65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs 76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing 30C30 Schwarz-Christoffel-type mappings Keywords:geodesic quadrangles on surfaces; quasi-isometric grids; numerical examples; conformal mappings; computational geometry; grid generation; boundary-fitted curvilinear coordinates; surface of constant curvature; airfoil PDFBibTeX XMLCite \textit{G. Chumakov} and \textit{S. G. Chumakov}, Electron. J. Differ. Equ. 1997, 55--79 (1997; Zbl 0912.65126) Full Text: EuDML EMIS