A method for generation of orthogonal and nearly orthogonal boundary- fitted coordinate systems

DOI10.1016/0021-9991(81)90129-7zbMath0466.65019OpenAlexW2052099336MaRDI QIDQ1155332

Henry J. Haussling, Roderick M. Coleman

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90129-7

zbMATH Keywords

Laplace equationelliptic generating equationsnearly orthogonal boundary-fitted coordinate systems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items

A Laplacian equation method for numerical generation of boundary-fitted 3D orthogonal grids, A method for generation of orthogonal and nearly orthogonal boundary- fitted coordinate systems, Transfinite mappings and their application to grid generation, Numerical conformal mapping based on the generalised conjugation operator, Simultaneous untangling and smoothing of moving grids, Nearly orthogonal two-dimensional grid generation with aspect ratio control, Boundary-fitted coordinates for accurate numerical solution of multibody flow problems, Generation of orthogonal grids with control of spacing, Orthogonal mapping

Cites Work

• On the numerical generation of boundary-fitted orthogonal curvilinear coordinate systems
• A method for generation of orthogonal and nearly orthogonal boundary- fitted coordinate systems
• The construction of discrete orthogonal coordinates
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