A method for the \(2-D\) quasi-isometric regular grid generation

DOI10.1006/jcph.1998.5968zbMath0919.65069OpenAlexW1994981137MaRDI QIDQ1286952

S. G. Chumakov, Gennadii A. Chumakov

Publication date: 18 May 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.5968

zbMATH Keywords

smoothingmesh generationnon-Euclidean geometrysurfaces of constant curvaturegeodesic quadranglesquasi-conformal mappingsboundary-fitted curvilinear coordinate systemsquasi-isometric regular grid generation

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Quasiconformal mappings in the complex plane (30C62)

Related Items (2)

On 2D quasi-isometric regular grids that are orthogonal far from corners ⋮ Riemannian metric of harmonic parametrization of geodesic quadrangles and quasi-isometric grids

Cites Work

• Basic differential models for coordinate generation
• Orthogonal mapping in two dimensions
• Orthogonal grid generation in a 2D domain via the boundary integral technique
• Elliptic systems and numerical transformations
• A non-iterative scheme for orthogonal grid generation with control function and specified boundary correspondence on three sides
• Elliptic grid generation based on Laplace equations and algebraic transformations
• Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature
• Boundary properties of conformal and quasiconformal mappings of polygons
• Conservation Laws of Fluid Dynamics–A Survey
• The use of a class of quasiconformal mappings to construct difference nets in domains with curvilinear boundaries
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