An initial value approach to the production of discrete orthogonal coordinates

DOI10.1016/0021-9991(81)90143-1zbMath0452.65009OpenAlexW2031060094MaRDI QIDQ1148651

Charles W. Davies

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)90143-1

zbMATH Keywords

orthogonal trajectoriesboundary fitted coordinatesinitial-value formulationorthogonalization of a discrete non-orthogonal coordinate systemsemi-Lagrangian code

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Surfaces in Euclidean and related spaces (53A05) Algorithms for approximation of functions (65D15)

Related Items (5)

A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation ⋮ A Laplacian equation method for numerical generation of boundary-fitted 3D orthogonal grids ⋮ Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review ⋮ Transfinite mappings and their application to grid generation ⋮ Orthogonal mapping

Cites Work

• Solving the conservation equations in fuel rod bundles exposed to parallel flow by means of curvilinear-orthogonal coordinates
• The construction of discrete orthogonal coordinates
• An implicit finite-difference method for solving the Navier-Stokes equation using orthogonal curvilinear coordinates
• Constructing orthogonal curvilinear meshes by solving initial value problems
• An optimal mesh generator for Lagrangian hydrodynamic calculations in two space dimensions
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